Question

manuels mother measured his height each school year. use the rulers to answer the questions. write each answer as a whole number or decimal (not a fraction). (a) how much taller did manuel grow from one year to the next? cm (b) at this rate, how tall will manuel be in 10th grade? cm

Explanation:

Step1: Find the growth rate

From 5th grade to 6th grade, Manuel's height increased from 151 cm to 159 cm. The growth is \(159 - 151=8\) cm. From 6th grade to 7th grade, if we assume the same rate (since the problem implies a constant rate from "at this rate"), the growth per - year is \(\frac{167 - 159}{1}=8\) cm.

Step2: Calculate height in 10th grade

Manuel is in 7th grade with a height of 167 cm. From 7th grade to 10th grade, there are \(10 - 7 = 3\) years.
Using the growth rate of 8 cm per year, the height in 10th grade is \(167+8\times3\).
First, calculate \(8\times3 = 24\). Then, \(167+24=191\) cm.

Answer:

(a) \(8\) cm
(b) \(191\) cm