Question

Dustin and Mabel have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Dustin earns a base wage of $15 per hour, as well as $2 for every subscription that he sells. Mabel gets $3 per subscription sold, in addition to a base wage of $5 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be?Write a system of equations, graph them, and type the solution.

Answer 1

Answer:

The system of equations:

y = 15 + 2n...............(1)

y = 5 + 3n..................(2)

The graph is plotted below

Each of Dustin and Mabel sell 10 subscriptions in 1 hour

They earn $35 each in 1 hour

Explanations:

Let the number of subscriptions made by each of Dustin and Mabel in 1 hour be n

Let the amount earned by each of them be y

Dustin earns a base wage of $15 per hour, as well as $2 for every subscription that he sells.

Total amount earned by Dustin is:

y = 15 + 2n

Mabel gets $3 per subscription sold, in addition to a base wage of $5 per hour

Total amount earned by Mabel

y = 5 + 3n

The system of equations is:

y = 15 + 2n...............(1)

y = 5 + 3n..................(2)

The graph representing the system of equations is:

The red line represents y = 15 + 2n

The blue line represents y = 5 + 3n

The point where the two lines meet is the solution to the system of equations

The solution to the system of equations is:

n = 10, y = 35

Therefore, each of Dustin and Mabel sell 10 subscriptions in 1 hour

They earn $35 each in 1 hour