Question

jane likes to exercise daily. the table shows the number of calories y she burns by exercising x minutes. how many calories would she burn by exercising for 20 minutes? calories burned time in calories minutes (x) burned (y) 20 220 25 275 30 330 40 440

Explanation:

Step1: Find the rate of calories burned per minute

We can use two points \((x_1,y_1)=(20,220)\) and \((x_2,y_2)=(30,330)\) from the table. The rate \(m\) (slope) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

$$m=\frac{330 - 220}{30 - 20}=\frac{110}{10}=11$$

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\) to find the equation

Using the point \((x_1,y_1)=(20,220)\) and \(m = 11\), we have \(y-220=11(x - 20)\).

$$y-220=11x-220$$

$$y = 11x$$

Step3: Substitute \(x = 29\) into the equation

When \(x = 29\), \(y=11\times29\)

$$y = 319$$

Answer:

319