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?

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

Is a linear direct variation

The constant of proportionality or slope is equal to

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

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.