Question

A tree in Isabel's backyard has been growing for 2 1/5 years. The tree is 7/8 m tall. What is the unit rate in meters per year?

A) 1/5 m/year
B) 2/5 m/year
C) 3/5 m/year
D) 4/5 m/year

Answer 1

To find the unit rate in meters per year, divide the total height of the tree (7/8 m) by the number of years it has been growing (2 1/5 years). The unit rate is 7/16 m/year.

Step-by-step explanation:

To find the unit rate in meters per year, we need to divide the total height of the tree (7/8 m) by the number of years it has been growing (2 1/5 years).

To divide a fraction by a whole number, we first convert the whole number to a fraction by giving it a denominator of 1. So, 2 becomes 2/1.

We can then divide the fraction (7/8) by the fraction (2/1) by multiplying the numerator of the first fraction by the denominator of the second fraction, and multiplying the denominator of the first fraction by the numerator of the second fraction.

Therefore, the unit rate in meters per year is 7/8 ÷ 2/1 = 7/8 x 1/2 = 7/16 m/year.