Q9. - Algebra 1

Question

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.

A ratio that describes, on average, how much one quantity changes with respect to a change in another quantity is a rate of change.

Step-by-Step Solution

Answer

True.

Step 1. State the definition of rate of change.

A rate of change is a change in any quantity with respect to another quantity. It is calculated by dividing of difference occurred in a quantity to another quantity.

Step 2. State the definition of ratio.

A ratio is calculated by dividing two quantities. It can be written in fractional form like $\frac{a}{b}$ or $a:b$.

Step 3. Conclusion.

It is true because the ratio that describes, on average, how much one quantity changes with respect to a change in another quantity is called the rate of change.