Question

Sam had a deal with their parents that said every month Sam was granted a base (fixed) amount of free time of 10 hours plus 50% of the time spent on chores. Which linear function best represents this situation?

a y = 10.5x
b y = 0.50x + 10
c y = 9.5x
d y = 10x + 0.5

Answer 1

The linear function that best represents Sam's situation is y = 0.50x + 10.

Step-by-step explanation:

The linear function that best represents Sam's situation is y = 0.50x + 10.

To understand why, let's break down the equation:

• The base (fixed) amount of free time, 10 hours, is represented by the constant term, 10.
• The 50% of the time spent on chores is represented by the coefficient of x, which is 0.50.

By plugging in the appropriate values, you can calculate the total amount of free time Sam has each month.