Question

The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.

Answer 1

66.9

Explanation:

Answer 2

`\boxed {\tt 66.9 \ inches}`

Explanation:

We are given the formula:

`c=2.54n`

where
`c` is centimeters and
`n` is inches.

We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for
`c`

`170=2.54n`

We want to find out how tall Henry is, in inches. We must isolate the variable for inches,
`n`, on one side of the equation.

`n` is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54

`(170)/(2.54) =(2.54n)/(2.54)`

`(170)/(2.54)=n`

`66.9291339=n`

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.

`66.9 \approx n`

`n \approx 66.9 \ inches`

Henry is about 66.9 inches tall.