Question

the bar graph shows the estimated number of calories per day needed to maintain energy balance for various gender and age groups for moderately active lifestyles. moderately active means a lifestyle that includes physical activity equivalent to walking 1.5 to 3 miles per day at 3 to 4 miles per hour, in addition to the light physical activity associated with typical day - to - day life. complete parts a. through c. does this underestimate or overestimate the number shown by the graph? by how much? the model overestimates the number shown by the graph by 10 calorie(s). b. the mathematical model below describes the number of calories needed per day, m, by men in age group x with moderately active lifestyles. m = - 120x²+998x + 590. according to the model, how many calories per day are needed by men over the age of 51, with this lifestyle? m = calories

Explanation:

Step1: Identify the value of x

For men over the age of 51, we assume x = 6 (since it's likely the 6th age - group in the context).

Step2: Substitute x into the formula

Substitute x = 6 into the formula $M=-120x^{2}+998x + 590$.
$M=-120\times6^{2}+998\times6 + 590$.

Step3: Calculate the powers

First, calculate $6^{2}=36$. Then the formula becomes $M=-120\times36+998\times6 + 590$.

Step4: Calculate the multiplications

$-120\times36=-4320$ and $998\times6 = 5988$. So $M=-4320+5988 + 590$.

Step5: Calculate the sum

$-4320+5988=1668$, and $1668 + 590=2258$.

Answer:

2258