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

Answer:

66.9

Step-by-step explanation:

Answer 2

Answer:

$\boxed {\tt 66.9 \ inches}$

Step-by-step 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

$\frac{170}{2.54} =\frac{2.54n}{2.54}$

$\frac{170}{2.54}=n$

$66.9291339=n$

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.