Question

the relationship between time worked and money earned for each person is proportional. who would earn more money if elimary and abundo each worked for 12 hours? how much more money would that person earn?
start by thinking about how much abundo earns per hour. in the equation ( y = 8.75x ), ( y ) is the amount of money he earns for working ( x ) hours. how much does he earn per hour? that is his rate of change.
abundos earnings
( y = 8.75x )
rate of change: $ \square $ per hour
elimarys earnings

time worked (hr)	money earned ($)
10	92.50
15	138.75
20	185

rate of change: ? per hour

Explanation:

Step1: Find Abundo's hourly rate

For proportional equation $y=kx$, $k$ is hourly rate. So Abundo's rate is $\$8.75$ per hour.

Step2: Calculate Abundo's 12hr earnings

Multiply rate by 12 hours.
$\text{Earnings} = 8.75 \times 12 = 105$

Step3: Find Elimary's hourly rate

Divide earnings by time (use first row).
$\text{Rate} = \frac{46.25}{5} = 9.25$

Step4: Calculate Elimary's 12hr earnings

Multiply rate by 12 hours.
$\text{Earnings} = 9.25 \times 12 = 111$

Step5: Find earnings difference

Subtract Abundo's earnings from Elimary's.
$\text{Difference} = 111 - 105 = 6$

Answer:

Elimary would earn more money. She would earn $\$6$ more than Abundo.
Abundo's rate of change: $\$8.75$ per hour
Elimary's rate of change: $\$9.25$ per hour