Question

Which scenario involves a proportional relationship between the quantities?

select all that apply-

The height, h, of a person who is x years old.

The amount of money, A, after t years, in an investment portfolio earning 6% per year.

The total cost, C, of purchasing x DVDs at the video store.

The total cost, C, of purchasing x gallons of gas at $4.12 per gallon.

Answer 1

The height, h, of a person who is x years old.

This does not show a proportional relationship because the height of a anyone stops increasing after a certain age.

The amount of money, A, after t years, in an investment portfolio earning 6% per year.

This involves a proportional relationship as it increasing at a constant rate of 6% per year.

The total cost, C, of purchasing x DVDs at the video store.

This does not involve a proportional relationship because the price of x DVDs purchased can vary for each DVD.

The total cost, C, of purchasing x gallons of gas at $4.12 per gallon.

This involves a proportional relationship because the relationship can be defined as C = 4.12x.