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

Answer:

$y=8x$

Step-by-step 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

$\frac{48}{6}=\frac{y}{x}\\\\y=(48x)/6\\\\y=8x$

Is a linear direct variation

The constant of proportionality or slope is equal to

$k=8\frac{\ }{h}$

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