Question

the bar graph shows the estimated number of calories per day needed to maintain energy balance for various gender and age groups for sedentary lifestyles. (sedentary means a lifestyle that includes only the light physical activity associated with typical day - to - day life.) the mathematical model f=-8.3x^{2}+65.5x + 623 describes the number of calories needed per day, f, by females in age group x with sedentary lifestyles. according to the model, how many calories per day are needed by females between the ages of 4 and 8, inclusive, with this lifestyle? does this underestimate or overestimate the number shown by the graph? by how much? according to the model, how many calories per day are needed by females between the ages of 4 and 8, inclusive, with this lifestyle? (type a whole number.)

Explanation:

Step1: Identify the value of x

The age - group 4 - 8 corresponds to x = 1 in the model.

Step2: Substitute x into the formula

Substitute x = 1 into F=-83x² + 655x + 623.
F=-83×(1)²+655×1 + 623

Step3: Calculate the value of F

First, calculate -83×(1)²=-83.
Then, 655×1 = 655.
F=-83 + 655+623
F=1195

Answer:

1195