Question

the graphs, on the right, show the percentage of jobs in a countrys labor force held by men and women from 1970 through 2015. the formula p = 1.8\sqrt{t}+38 models the percentage of jobs in the labor force, p, held by women t years after 1970. answer parts a through c. a. use the appropriate graph to estimate the percentage of jobs in the labor force held by women in 2010. p = \\(\square\\)% (round to the nearest whole number as needed.)

Explanation:

Step1: Determine the value of t

The year is 2010, and t is the number of years after 1970. So $t = 2010 - 1970=40$.

Step2: Substitute t into the formula

Substitute $t = 40$ into the formula $p = 1.8\sqrt{t}+38$. We get $p = 1.8\sqrt{40}+38$.
First, calculate $\sqrt{40}\approx6.32$. Then $1.8\times6.32 = 11.376$.
So $p=11.376 + 38=49.376$.

Step3: Round the result

Round $49.376$ to the nearest whole - number. Since the decimal part $0.376\lt0.5$, $p\approx49$.

Answer:

49