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?

Question

asked Feb 27, 2020 56.3k views

1 Answer

Pronab Roy · Answer 1 · 2020-03-04T14:12:44+0000

Answer:

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