High School

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.

A. 66.7 in.
B. 66.8 in.
C. 66.9 in.
D. 67.0 in.

Answer :

Answer:

[tex]\boxed {\tt 66.9 \ inches}[/tex]

Step-by-step explanation:

We are given the formula:

[tex]c=2.54n[/tex]

where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.

We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]

[tex]170=2.54n[/tex]

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

[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54

[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]

[tex]\frac{170}{2.54}=n[/tex]

[tex]66.9291339=n[/tex]

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

[tex]66.9 \approx n[/tex]

[tex]n \approx 66.9 \ inches[/tex]

Henry is about 66.9 inches tall.

Answer:

66.9

Step-by-step explanation: