Question

(c) use the model to forecast the average height of 11 - yr - old girls. round all calculations to the nearest hundredth of an inch, if necessary. the average height of 11 - yr - old girls is 57.50 in. alternate answer: the average height of 11 - yr - old girls is 57.5 in. part: 3 / 4 part 4 of 4 (d) if the height of a girl at age 11 is 90% of her full - grown adult height, use the result of part (c) to estimate the average height of adult women. round to the nearest tenth of an inch. the average height of adult women is approximately in.

Explanation:

Step1: Define the relationship

Let $H_a$ = average adult height, $H_{11}$ = average 11-yr-old height. We know $H_{11} = 0.90 \times H_a$.

Step2: Rearrange to solve for $H_a$

Rearrange the formula to isolate $H_a$:
$H_a = \frac{H_{11}}{0.90}$

Step3: Substitute the known value

From part (c), $H_{11}=57.5$ in. Substitute into the formula:
$H_a = \frac{57.5}{0.90} \approx 63.9$

Answer:

63.9 in.