Question

Daniel is enrolling for a test prep class. The expression below represents the hourly charges, including the cost for the materials. $30x + $65

1. The constant of the expression represents the ___
A. cost of materials
B. Cost per hour
C. Number of hours

2. and the coefficient of x represents the__
A. Cost per hour
B. cost of materials
C. number of hours

Answer 1

1) A
2)C

Constant is cost that can’t be changed so would be materials.

Coefficient is affected by something else, in this case, number of hours since cost per hour is 30.

Hope this helps!

Answer 2

A. cost of materials.

C. number of hours.

Explanation:

The given expression is

`30x+65`

This is a linear expression in slope-intercept form, where the constant ratio of change is 30, and the y-intercept is at y = 65.

Now, according to the problem, the expression represents the hourly charges, including the cost for the materials.

Therefore, the hourly charge is $30 per hour, where x represents hours, and the cost for materials is $65.

So, the answer to the first question is: A. cost of materials.

And the answer to the second question is: C. number of hours.