Question

The daily energy requirement for males is modeled by the chart below. Age (Years) (X) Energy Needed (Calories) (Y) 1 1100 2 1300 5 1800 8 2200 11 2500 14 2800 17 3000 Use the points (5, 1800) and (17, 3000) to determine a linear equation for the data.

Answer 1

Answer: y = 100x + 1300

Explanation: Linear Equation is an equation whose graphic produces a line. It is of the form y = mx + B, in which m and B are real numbers.

The term m is also the slope or gradient of the equation, i.e., it shows the steepness of the line. While B is y-intercept, i.e., it is the point where the line touches the y-axis.

The slope is determined by:

`m=(y-y_(0))/(x-x_(0))`

`m=(3000-1800)/(17-5)`

m = 100

For the linear equation, use:

`y-y_(1)=m(x-x_(1))`

and point (5,1800):

`y-1800=100(x-5)`

`y=100x-500+1800`

`y=100x+1300`

The linear equation of daily energy requirement for males is
`y=100x+1300`.