Question

Determine if the relation y=4x−1 is a function by first graphing the relation, then applying the vertical line test. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)

Answer 1

Determine if 7x2+y=5 is a linear or nonlinear function.(1 point)
Responses

The graph of the function 7x2+y=5 is not a straight line.
The graph of the function 7 x squared plus y equals 5 is not a straight line.

The function 7x2+y=5 is a nonlinear function.
The function 7 x squared plus y equals 5 is a nonlinear function.

There is not enough information to determine if 7x2+y=5 is a linear or nonlinear function.
There is not enough information to determine if 7 x squared plus y equals 5 is a linear or nonlinear function.

The function 7x2+y=5 is a linear function.

Answer 2

Determine the initial value and the rate of change in the following description.

Last year, Joshua’s tomato plant reached a maximum height of 2 feet. He is growing another tomato plant this year, and he is tracking its growth. The plant’s height today is 10 inches, and it grows 1.7 inches each day.


(1 point)
The initial value is b=
, and the rate of change is m=
.

Answer 3

Use the table to answer the question.

x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.

(1 point)
The rate of change is m=
, and the initial value is b=
.

Answer 4

Manuel got a new job and was given a hiring bonus along with his monthly salary. His earnings after x months are modeled by the function f(x)=1,500x+300 . How much did he receive as a hiring bonus?(1 point)

Answer 5

The equation y=mx+b defines what type of function?(1 point)
Responses

an initial value function
an initial value function

a slope function
a slope function

a nonlinear function
a nonlinear function

a linear function

Answer 6

Use the table to answer the question.

x y
6 16
15 43
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

(1 point)

Answer 7

Last year, Alayah ordered 4 cubic yards of soil and spent $220. This year, she orders 7 cubic yards of soil and spends $340. Write the equation of the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost. Enter your answer in y=mx+b form.(1 point)

Answer 8

Use the table to answer the question.

Day of the Week Number of Children in the Car
Sunday 2
Monday 4
Tuesday 4
Wednesday 3
Thursday 4
Friday 3
Saturday 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?