Question

1. amy babysits and earns $10 per day plus $5 per hour worked. write a function rule to model her daily earnings. how much will she earn if she babysits 4 days, for 5 hours per day?

Explanation:

Step1: Define variables and function

Let \( d \) be the number of days, \( h \) be the number of hours per day, and \( E \) be the total daily earnings. The daily earnings function (for one day) is \( E_{\text{daily}} = 10 + 5h \). For \( d \) days, the total earnings \( E = d\times(10 + 5h) \).

Step2: Substitute values

Given \( d = 4 \) and \( h = 5 \), substitute into the formula: \( E=4\times(10 + 5\times5) \)

Step3: Calculate inside the parentheses

First, calculate \( 5\times5 = 25 \), then \( 10+25 = 35 \)

Step4: Multiply by the number of days

\( 4\times35 = 140 \)

Answer:

The function rule for daily earnings (for one day) is \( E_{\text{daily}} = 10 + 5h \), and for 4 days with 5 hours per day, she will earn \$140.