Introduction to Linear Functions Answers

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What is the value of s in the equation , when ?

Question illustration
A
4
B
8
C
100
D
200
2
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Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

A
508 seconds
B
510 seconds
C
509 seconds
D
508.8 seconds
3

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

A
Option
B
Option
C
Option
D
Option
4

Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A
$12.80
B
$31.20
C
$38.40
D
$115.20
5

If f(x) = 2x2 + 1, what is f(x) when x = 3?

A
1
B
7
C
13
D
19
6

The program suggests maintaining a consistent intensity for the first 3 visits, gradually increasing intensity over the subsequent 3 visits, followed by a decrease in intensity for the next 3 visits, before repeating the pattern. Which of the following options represent the possible intensities for Amber's exercise during the fourth, fifth, and sixth visits? Select three options.

A
63%, 63%, 63%
B
66%, 69%, 72%
C
66%, 62%, 58%
D
63%, 65%, 67%
E
67%, 72%, 77%
7

Which graph shows a set of ordered pairs that represent a function?

A
Option
B
Option
C
Option
D
Option
8

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

A
x minus y equals 44
Option A
B
44 plus y equals x
Option B
C
y minus x equals 44
Option C
D
x equals 44 minus y
Option D
9

Diep buys a loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep wants to determine the length of the loaf of bread, l, after d days. What is the equation of the scenario? Is the graph of the equation continuous or discrete?

A
l = 65 – 15d; discrete
B
l = 65 – 15d; continuous
C
65 = l – 15d; discrete
D
65 = l – 15d; continuous
10

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
11

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because some day the number of available people to sign up for the club will run out.
D
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
12

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

A
The value of x can be any real number, and y will be a real number.
B
The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C
The value of x can be any integer, and y will be an integer.
D
The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.

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