Aman 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?

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

you would need to know all the numbers that are on there

step-by-step explanation: