Mark earns $8.25 per hour at his summer job. He wants to buy a video game system that costs $206.25. First, write an equation to model the relationship between numbers of hours worked (h) and amount earned (e). Then, solve your equation to find the number of hours Mark needs to work in order to afford the video game system.

First, write an equation to model the relationship between numbers of hours worked (h) and amount earned (e).

e = $8.25h

where e = earnings and h = hours worked

Then, solve your equation to find the number of hours Mark needs to work in order to afford the video game system.

since you need to raise $206.25, the your equation ⇒ $206.25 = $8.25h

h = $206.25 / 8.25 = 25 hours of work

amount earned in hour (s) = e * h

He need to work 25 hours to be able to afford the video game system.

Explanation:

Mark earns $8.25 per hour at his summer job. He want to buy a video game system that costs $206.25. An equation to model the relationship between the number of hours worked and amount earned can be represented below;

Number of hour worked = h

amount earned = e

amount earned in hour (s) = e * h

The number of hours marked need to work in order to afford a video game system is represented as

amount earned in hour (s) = $206.25

e = $8.25

amount earned in hour (s) = e * h

206.25 = 8.25h

divide both sides by 8.25

206.25/8.25 = h

h = 206.25/8.25

h = 25 hours