The number of calories consumed from an apple is directly proportional to the number of apples eaten. If 4 apples contain 380 total calories, how many apples would you have to eat to reach a total of 1,045 calories?

Step-by-step explanation:

The direct proportion equation is y = kx which reads, "y is directly proportional to x". k is the constant of proportionality. In our case, we read this is as, "the number of calories is directly proportional to the number of apples eaten." Our equation would look like c = ka. We first are given that a = 4 and  = 380. We will use that to solve for k:

380 = k4 so

k = 95. Now that know the value of k, we will use that along with the number of calories (1045) to find the number of apples, a:

1045 = 95a so

a = 11

This means that it will be 11 apples that contain 1045 calories.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !