Question

jackson and julie are babysitters. the equation shows jacksons hourly rate, and the table shows julies hourly rate.
jacksons babysitting rate: $y = 25x$
julies babysitting rate:

hours of babysitting, x	total pay, y
5	75
7	105

given this data:
how much money does jackson make per hour? $square$
how much money does julie make per hour? $square$
who makes more money babysitting, jackson or julie? $square$

Explanation:

Step1: Find Jackson's hourly rate

Jackson's rate is given by the equation \( y = 25x \), where \( y \) is total pay and \( x \) is hours. In a linear equation \( y = mx + b \) (here \( b = 0 \)), \( m \) is the rate (slope). So Jackson's hourly rate is 25 dollars per hour.

Step2: Find Julie's hourly rate

For Julie, use the formula for rate: \( \text{Rate} = \frac{\text{Total Pay}}{\text{Hours}} \). Take the first row: \( x = 3 \), \( y = 45 \). So rate \( = \frac{45}{3} = 15 \) dollars per hour. (We can check with other rows: \( \frac{75}{5}=15 \), \( \frac{105}{7}=15 \), so consistent.)

Step3: Compare Jackson and Julie's rates

Jackson's rate is 25, Julie's is 15. Since \( 25>15 \), Jackson makes more.

Answer:

Jackson's hourly rate: $25
Julie's hourly rate: $15
Who makes more: Jackson