Question

7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300

Answer 1

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124