Quiz about Analyze a Linear Function to Construct a Model

Question 1

A gym charges an initial fee plus a monthly charge. Use the table to find the rate of change per month.

Accepted Answer

$35 per month

Answer

$75 per month

Answer

$55 per month

Answer

$45 per month

Question 2

Write an equation in y = mx + b form for the cost, y, to belong to the gym for x months.

Accepted Answer

y = 35x + 40

Answer

y = 40x + 35

Answer

y = 35 x + 70

Answer

y = 75x

Question 3

The total cost, y, for a member to see 5 movies, x, is $40 and the total cost to see 12 movies is $75. Assume the relationship is linear. Find the rate of change (slope).

Accepted Answer

$5 per movie

Answer

$8 per movie

Answer

$6.25 per movie

Answer

There is no constant rate of change.

Question 4

Write an equation in y = mx + b for the movie membership above.

Accepted Answer

y = 5x + 15

Answer

y = 15x + 5

Answer

y = 5x + 40

Answer

y = 12x + 75

Question 5

Find the initial value/distance. Hint: (0, y)

Accepted Answer

2480 meters

Answer

0 meters

Answer

2000 meters

Answer

2040 meters

Question 6

What function best models the data in the table?

Accepted Answer

linear

Answer

exponential

Answer

quadratic

Question 7

A(n) _________________ function will ADD the same number each time.

Accepted Answer

Linear

Answer

Quadratic

Answer

Exponential

Answer

All of the above

Question 8

Given the table, determine the equation of the function.

Accepted Answer

y = -4x + 1

Answer

y = 4x + 1

Answer

y = 1x + 4

Answer

y = -1x + 4

Question 9

Write the function rule to represent the table.

Accepted Answer

y = 7x + 3

Answer

y = 3(7)x

Answer

y = 7(3)x^{- 1}

Answer

Not a function

Question 10

Which of the following statements is true about the functions f(x) and g(x)?

Accepted Answer

The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

Answer

The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

Answer

The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

Answer

The y-intercepts cannot be determined.

Question 11

Which of the following graphs represents a linear relationship between x and y?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 12

Which equation represents a linear function?

Accepted Answer

$$y=2x-3$$

Answer

$$y=\frac{1}{x}$$

Answer

$$y=5x^3-8$$

Answer

$$y=x^2+2x+1$$

Question 13

Which of the following tables represents a linear relationship between x and y?

Accepted Answer

A) Table 1

Answer

B) Table 2

Answer

C) Table 3

Answer

D) Table 4

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