A person who weighs 130 pounds can burn about 300 calories per hour skateboarding. Write a function that relates the calories burned, c, to the number of hours, h, spent skateboarding. Identify the independent and dependent variable. Create a function table for values of h equal to 1, 2, 3, and 4. Graph the function on a coordinate plane

Question

A person who weighs 130 pounds can burn about 300 calories per hour skateboarding. Write a function that relates the calories burned, c, to the number of hours, h, spent skateboarding. Identify the independent and dependent variable. Create a function table for values of h equal to 1, 2, 3, and 4. Graph the function on a coordinate plane

c = 300h

Independent variable (IV) is h, number of hours
Dependent variable (DV) is c, calories burned

the weight doesn't matter and it's not the y-intercept, just sent to confuse you.

x :: y
0 :: 0
1 :: 300
2 :: 600

Answer 1

To create a function table for the values of h equal to 1, 2, 3, and 4, we substitute these values into the function:

For h = 1:
c = 300 * 1 = 300

For h = 2:
c = 300 * 2 = 600

For h = 3:
c = 300 * 3 = 900

For h = 4:
c = 300 * 4 = 1200

Now we can graph the function on a coordinate plane. The x-axis represents the number of hours (h) and the y-axis represents the calories burned (c). We plot the points (1, 300), (2, 600), (3, 900), and (4, 1200) on the graph and connect them with a straight line.

The graph will be a straight line that starts at the origin (0, 0) and has a positive slope. This means that as the number of hours spent skateboarding increases, the number of calories burned also increases, in a linear relationship.