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√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 = 49% (round to the nearest whole number as needed.) b. use the mathematical model to determine the percentage of jobs in the labor force held by women in 2010. p = % (round to the nearest tenth as needed.)

Explanation:

Step1: Calculate the value of t

The year is 2010 and we start from 1970, so $t = 2010 - 1970=40$.

Step2: Substitute t into the formula

The formula is $p = 1.8\sqrt{t}+38$. Substitute $t = 40$ into it, we get $p = 1.8\sqrt{40}+38$.
First, calculate $\sqrt{40}\approx6.3246$. Then $1.8\times6.3246 = 11.38428$.
So $p=11.38428 + 38=49.38428$.

Step3: Round the result

Round $49.38428$ to the nearest tenth, we get $p\approx49.4$.

Answer:

$49.4$