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.
a. the mathematical model below describes the number of calories needed per day, w, by women in age group x with moderately active lifestyles.
w=-66x^{2}+526x + 1030
according to the model, how many calories per day are needed by women over the age of 51, with this lifestyle?
w = calories

Explanation:

Step1: Identify the value of x

For women over the age of 51, we assume x = 6 (since age - groups seem to be grouped in intervals and this would be a reasonable representation in the context of the model).

Step2: Substitute x into the formula

Substitute x = 6 into $W=-66x^{2}+526x + 1030$.
$W=-66\times6^{2}+526\times6 + 1030$.
First, calculate $66\times6^{2}=66\times36 = 2376$.
Then, calculate $526\times6=3156$.
So, $W=-2376+3156 + 1030$.

Step3: Calculate the value of W

$W=(-2376+3156)+1030=780 + 1030=1810$.

Answer:

1810