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 Upper F equals negative 82 x squared plus 653 x plus 621 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 14 and 18​, ​inclusive, with this​ lifestyle? Does this underestimate or overestimate the number shown by the​ graph? By how​ much? A side-by-side bar graph titled "Calories Needed to Maintain Energy Balance for Sedentary Lifestyles" has a horizontal axis labeled "Age Range" with the classes 4-8, 9-13, 14-18, 19-30, 30-50, and 51 plus and a vertical axis labeled "Calories per Day" from 0 to 3200 in increments of 400. Two vertical bars are above each of the horizontal axis labels, where the left bar represents females and the right bar represents males. The heights of the bars are as follows, where the age range is listed first, and the heights of the bars are listed next from left to right: 4-8, 1113 and 1393; 9-13, 1679 and 1800; 14-18, 1914 and 2195; 19-30, 1843 and 2407; 31-50, 1764 and 2208; 51 plus, 1509 and 2008. Each bar is labeled with its height. Class 4-8 is labeled Group 1, class 9-13 is labeled Group 2, class 14-18 is labeled Group 3, class 19-30 is labeled Group 4, class 30-50 is labeled Group 5, and class 51 plus is labeled Group 6. Calories Needed to Maintain Energy Balance for Sedentary Lifestyles 0 800 1600 2400 3200 Calories per Day 1113 1393 1679 1800 1914 2195 1843 2407 1764 2208 1509 2008 Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 Females Males Question content area bottom Part 1 According to the​ model, how many calories per day are needed by females between the ages of 14 and 18​, ​inclusive, with this​ lifestyle?

Respuesta :

According to the mathematical model, the number of calories needed per day by females between the ages of 14 and 18 (inclusive) with a sedentary lifestyle can be found by substituting the age group x into the equation.

In this case, x represents the age group 14-18. To calculate the number of calories needed, we need to substitute x=14 and x=18 into the equation and evaluate it.

First, let's calculate the number of calories needed for the age group 14:

F = -82(14)^2 + 653(14) + 621

Next, let's calculate the number of calories needed for the age group 18:

F = -82(18)^2 + 653(18) + 621

By substituting the values of x into the equation, we can calculate the number of calories needed for females between the ages of 14 and 18 with a sedentary lifestyle.