Question

Which situation represents a non-proportional relationship?

The cost of purchasing p pounds of salmon for $7.99 per pound.

The amount a student makes mowing m number of lawns charging $35 per lawn.

The amount of water draining at a rate of 2.5 gallons per minute.

The total cost of renting a jet ski for $25 per hour plus a fee of $50.

Answer 1

Correct option:

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

Explanation:

Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".

The first three options represents a proportional relationship.

But the last option does not.

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

That is,

TC = 25·h + 50

The relationship is linear not proportional.