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?
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.