AnswersModern Math KHSSlope-Intercept Form

Slope-Intercept Form Answers

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A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands: t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500 The equation for this linear function is . Determine the t-intercept. What is its significance in this situation?

Question illustration
A
(0, 20); The jet lands in 20 seconds.
B
(25, 0); The jet lands in 25 seconds.
C
(40, 0); The jet lands in 40 seconds.
D
(0, 40); The jet lands in 40 seconds.
2
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A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation . What is the slope of the line represented by the equation? What is the practical meaning of the slope?

Question illustration
A
; The total distance is 420 miles.
B
; The car is traveling 65 miles per hour.
C
; The car is traveling 65 miles per hour.
D
; The total distance is 355 miles.
3

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation . What is the d-intercept of the line? (Remember the slope-intercept form is )

Question illustration
A
(0, 420)
B
(420, 0)
C
(0, 65)
D
(65, 0)
4

Determine the x- and y- intercepts for the graph defined by the given equation.x = -9

A
x-intercept is ( -9, 0) No y-intercept
B
No x-intercepty-intercept is ( -9, 0)
C
No x-intercept y-intercept is (0, -9)
D
x-intercept is (0, -9) No y-intercept
5

Determine the x- and y- intercepts for the graph defined by the given equation.y = x + 8

A
x-intercept is (0, 8) y-intercept is ( -8, 0)
B
x-intercept is (0, -8) y-intercept is ( 8, 0)
C
x-intercept is ( -8, 0) y-intercept is (0, 8)
D
x-intercept is ( 8, 0) y-intercept is (0, -8)
6

Determine the x- and y- intercepts for the graph defined by the given equation.x = -9

A
x-intercept is ( -9, 0) No y-intercept
B
No x-intercepty-intercept is ( -9, 0)
C
No x-intercept y-intercept is (0, -9)
D
x-intercept is (0, -9) No y-intercept
7

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation . What is the practical meaning of the d-intercept?

Question illustration
A
Initially the car is 355 miles from its destination.
B
Initially the car is 420 miles from its destination.
C
Initially the car is 65 miles from its destination.
D
Initially the car is 485 miles from its destination.
8

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3

Question illustration
A
x-intercept is ( 3, 0) y-intercept is
B
x-intercept is y-intercept is (0, 3)
C
x-intercept is y-intercept is ( 3, 0)
D
x-intercept is (3, 0) y-intercept is
9

What does it mean to the rise over run when the slope is an integer?

A
the rise number is one
B
the run number is always negative
C
the run part of the slope is going to be one
D
there will be no slope
10

State the practical meaning of the slope and y-intercept for the situation described.The cost, in dollars, of retaining the services of a computer repairman in Anchorville is given by C = 48x + 18, where x is the number of hours worked.

A
48 signifies the hourly rate, and 18 signifies the overhead charge.
B
-48 signifies the hourly rate, and 18 signifies the travel cost.
C
18 signifies the hourly rate, and 48 signifies the overhead charge.
D
66 signifies the cost for an on-site inspection.
11

State the practical meaning of the slope and y-intercept for the situation described. The cost, in dollars, of a one-day car rental is given by where x is the number of miles driven.

Question illustration
A
$0.15 is the cost per day to rent the car and $25 is the cost per mile.
B
$25 is the cost per day to rent the car and $0.15 is the cost per mile.
C
$15 is the cost per day to rent the car and $0.25 is the cost per mile.
D
$25 is the cost per day to rent the car and $15 is the extra cost for unlimited miles.
12

Consider the equation . Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
13

State the practical meaning of the slope and y-intercept for the situation described.The value, in dollars, of a particular KX37B computer is given by V = -412.48x + 6843, where x is the number of years the computer has been in existence.

A
-412.48 signifies the amount of depreciation in one year, and 6843 signifies the initial cost.
B
-412.48 signifies the number of computers owned, and 6843 signifies the cost of electricity.
C
-412.48 signifies the hourly cost of repairs, and 6843 signifies the cost of software.
D
6843 signifies the amount of depreciation in one year, and -412.48 signifies the initial cost.
14

You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information: Suggested retail price - $18,790 Depreciation per year - $1385 (It is assumed that this value is constant.) The following table represents the value of the car after n years of ownership. n, years V, value in dollars 0 18,790 1 17,405 2 16,020 3 14,635 5 11,865 8 7710 Determine the n-intercept of the graph of the car value equation . What is the practical significance of the n-intercept? Be sure to include units.

Question illustration
A
The car is worth $1385 after 14 years.
B
After 14 years, the car is worth $0.
C
The car is worth $14.
D
After 7 years, the car has fully depreciated.
15

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation . What is the d-intercept of the line? (Remember the slope-intercept form is )

Question illustration
A
(0, 420)
B
(420, 0)
C
(0, 65)
D
(65, 0)
16

You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information: Suggested retail price - $18,790 Depreciation per year - $1385 (It is assumed that this value is constant.) The following table represents the value of the car after n years of ownership. n, years V, value in dollars 0 18,790 1 17,405 2 16,020 3 14,635 5 11,865 8 7710 Determine the n-intercept of the graph of the car value equation . a. or 14 b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
17

Determine the x- and y- intercepts for the graph defined by the given equation.y = x + 8

A
x-intercept is (0, 8) y-intercept is ( -8, 0)
B
x-intercept is (0, -8) y-intercept is ( 8, 0)
C
x-intercept is ( -8, 0) y-intercept is (0, 8)
D
x-intercept is ( 8, 0) y-intercept is (0, -8)
18

You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information: Suggested retail price - $18,790 Depreciation per year - $1385 (It is assumed that this value is constant.) The following table represents the value of the car after n years of ownership. n, years V, value in dollars 0 18,790 1 17,405 2 16,020 3 14,635 5 11,865 8 7710 Determine the n-intercept of the graph of the car value equation . a. or 14 b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D

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