The equation y=9.56x + 495.35 represents the number of calories, y, consumed in one day based on a persons weight, x. Jill consumes 1850 calories daily. Jaxon weighs 120 pounds. Which is an accurate comparison? A) Jill weighs about 20 lbs more than Jaxon B) Jaxon weighs about 20 lbs more than Jill C) Jill consumes about 20 more calories than Jaxon D) Jaxon consumes about 20 more calories than Jill
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
The equation y=9.56x + 495.35 represents the number of calories, y, consumed in one day based on a persons weight, x. Jill consumes 1850 calories daily. Jaxon weighs 120 pounds.
Determine the comparison between the two person.
Solution:
In order to compare the two person, we simply need to find the weight of Jill, by equating her daily calorie consumption in the equation.
y = 9.56x + 495.35
1850 = 9.56x + 495.35
Transpose 495.35 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
9.56x = 1850 - 495.35
9.56x = 1,354.65
Divide both sides by 9.56 in order to determine the value of x.
9.56x/9.56 = 1,354.65/9.56
x = 141.69 lb
It can be seen that Jill weighs 21.69 lbs greater than Jaxon.
Final answer:
A) Jill weighs about 20 lbs more than Jaxon