The cost of a soft drink varies directly with the number of ounces you buy. If 12 ounces cost $0.80, how many ounces of the soft drink could you buy for $2.40?

Answer 1

Since the cost varies directly with the number of ounces, we can set up the equation:

cost = k * ounces

where k is the constant of variation.

We can find k by using the information given: 12 ounces cost $0.80. Plugging these values into the equation gives us:

0.80 = k * 12

To find k, we divide both sides by 12:

k = 0.80 / 12
= 0.0667

Now that we know the value of k, we can use it to determine how many ounces of the soft drink we can buy for $2.40:

cost = k * ounces

2.40 = 0.0667 * ounces

To solve for ounces, we divide both sides by 0.0667:

ounces = 2.40 / 0.0667
= 36

Therefore, you could buy 36 ounces of the soft drink for $2.40.