AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PIntroduction to Modeling with Functions

Introduction to Modeling with Functions Answers

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Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

Question illustration
A
$1.00
B
$1.50
C
$2.00
D
$3.50
2
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The graph represents the expected hourly revenue, in dollars, y, earned by a car wash for each decrease of x dollars in the price of a car wash.

Question illustration
A
$100
B
$150
C
$200
D
$225
3

Lindsay is creating a bridge out of dried pasta and glue. In her plans, she sketches the graph to determine the lengths of the noodles, in centimeters, needed for the arch to increase the length of the bridge in 1-centimeter increments.

Question illustration
A
f(x) = (x – 5)2 + 8
B
f(x) = –(x + 5)2 + 8
C
f(x) = 0.5(x + 5)2 + 8
D
f(x) = –0.5(x – 5)2 + 8
4

The graph shows the relationship between the weight of a box and the number of books added to the box.

Question illustration
A
f(x) = 0.5x + 1.5
B
f(x) = 0.75x + 2
C
f(x) = 1.5x + 0.5
D
f(x) = 2x + 0.75
5

The graph shows the distance, in feet, required for a car to come to a full stop if the brake is fully applied and the car was initially traveling x miles per hour.

Question illustration
A
y =
Option A
B
y =
Option B
C
y =
Option C
D
y =
Option D
6

Cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store.

Question illustration
A
S = x – 2
B
S = 2x – 10
C
S = x + 6
D
S = 2x + 4
7

The graph shows the relationship between a gift card balance and the number of visits to a smoothie shop.

Question illustration
A
$18.00
B
$4.00
C
$3.00
D
$6.00
8

Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Select two options.

A
The points on a graph representing the relationship lie on a line.
B
There is 0.4 inch of water to every 1 inch of snow.
C
A line through the points will pass through (0, 0).
D
The function relating snow depth to water depth is quadratic.
E
The data can be represented by f(x) = 0.2x.
9

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

Question illustration
A
; 13.5 mg
Option A
B
; 34.6 mg
Option B
C
; 0.2 mg
Option C
D
; 4.6 mg
Option D
10

Julia finds that the data in the table can be modeled by the function y = 5(4)x.

Question illustration
A
Julia is correct because the distance starts at 5 feet and increases by a factor of 4.
B
Julia is correct because the function is true for (0, 5) and (1, 20).
C
Julia is not correct because the function is not true for the point (2, 80).
D
Julia is not correct because the distance does not increase by a constant factor each minute.

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