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

Step-by-step 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:

$m=\frac{y-y_{0}}{x-x_{0}}$

$m=\frac{3000-1800}{17-5}$

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 $y=100x+1300$.