AnswersNC-Foundations of Math 1 Fall 2nd 9 WeeksConstructing Linear Functions

Constructing Linear Functions Answers

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won the race by about .:Student 2
won the race by about .:1 second
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What is the rate of change?✔ 35811

A
3
B
5
C
8
D
11
3

What does the initial value represent?number of stamps added monthlytotal number of stamps in collection✔ starting number of stampstotal number of months

A
number of stamps added monthly
B
total number of stamps in collection
C
starting number of stamps
D
total number of months
4

What is the initial value?35✔ 811

A
3
B
5
C
8
D
11
5

What does the rate of change represent?✔ number of stamps added monthlytotal number of stamps in collectionstarting number of stampstotal number of months

A
number of stamps added monthly
B
total number of stamps in collection
C
starting number of stamps
D
total number of months
6

Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?

A
36
B
48
C
52
D
56
7

Each minute Seung fills ✔ one less bagone more bagsix less bagssix more bags than Razi.

A
one less bag
B
one more bag
C
six less bags
D
six more bags
8

What is the hourly charge?

A
$1.00
B
$4.00
C
$7.00
D
$8.00
9

The graph shows the charges of an instructor. The instructor charges an initial fee and then an hourly rate of $8.00 an hour for private lessons. Determine the instructor’s initial charge from the graph.$

Answer:

20.00

10

What does the point (0, 35) represent?

A
The students will read 35 pages a day to complete the book.
B
The book begins on page 35.
C
None of the students read 35 pages.
D
The students read 35 pages in class to start the book.
11

What is the cost of the hourly fee?✔ $0.75$1.50$5.75$6.50

A
$0.75
B
$1.50
C
$5.75
D
$6.50
12

Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply.

A
Find the rate of change using rise over run.
B
Find corresponding y values when x = 6, x = 7, and x = 8. Then plot the points to finish the line.
C
Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line.
D
The initial value corresponds to the y value when x = 1.
E
The initial value corresponds to the y value when x = 0.
13

Student 1✔ Student 2

A
Student 1
B
Student 2
14

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Answer:

Find the rate of change, (50.75 − 42.25) ÷ (5 − 3) = 4.25. Then subtract the rate of change times the x-value from the corresponding y-value: 42.25 − 4.25(3) = 29.5. The initial value is 29.5.

15

What is the cost of the rental fee?$0.75$1.50✔ $5.75$6.50

A
$0.75
B
$1.50
C
$5.75
D
$6.50
16

✔ 1 second2.5 seconds3 seconds3.5 seconds

A
1 second
B
2.5 seconds
C
3 seconds
D
3.5 seconds
17

Which did you include in your explanation? Check all that apply.

A
Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.
B
Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.
C
Calculate 42.25 – (3 x 4.25).
D
The initial value is 29.50.

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