Question Video: Solving Word Problems Involving Rate of Change Mathematics • 8th Grade

The table shows Sophia’s height at ages 10 and 15. Find the rate of change, in inches per year, of her height between these ages.

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Video Transcript

The table shows Sophia’s height at ages 10 and 15. Find the rate of change in inches per year of her height between these ages.

The table shows that at age 10, Sophia was 53 inches tall and at age 15, she was 67 inches tall. The rate of change in inches per year can be calculated by dividing the change in height by the change in age. Sophia’s change in height can be worked out by subtracting 53 from 67. 67 minus 53 is 14. The change in height was 14 inches.

The change in age can be worked out by subtracting 10 from 15. 15 minus 10 is equal to five. Therefore, the rate of change between these two ages 10 and 15 is 14 divided by five. 14 divided by five is equal to 2.8 or two and four-fifths. We can say that the rate of change is 2.8 inches per year.

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