Question

A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximately 420 calories daily. This stuation can be represented by the equation 10x+7.5=420 where x is the number of minutes spent mountain biking and y is the number of minutes spent in-line skating.
a. find the intercepts of the graph of the equation. Graph the equation.
b. what do the intercepts mean in this situation?
c. what are three possible numbers of minutes of biking and skating the man could do to reach his goal?

Answer 1

A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42

x = 42 > ( 42,0 )

10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56

y = 56 > ( 0,56 )

(42,0) (0,56)

B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.

C.) (21 ,28) - (14,37) - (28,18)