Question

The total cost of renting a popcorn machine for 6 hours is $48. What equation can be used to model the total cost y for renting the popcorn machine for x hours?

Answer 1

`y=8x`

Explanation:

Let

y ----> the total cost for renting the popcorn machine

x ----> the time in hours

we know that

The total cost of renting a popcorn machine for 6 hours is $48

so

using proportion

Find out the total cost for renting the popcorn machine for x hours

`(48)/(6)=(y)/(x)\\\\y=(48x)/6\\\\y=8x`

Is a linear direct variation

The constant of proportionality or slope is equal to

`k=8(\$)/(h)`

That means ----> the total cost is $8 per hour