, 30.01.2021joannachavez12345

# Mrs. Knight is saving money for a trip. She already has some money saved in 1 point her savings account and will add the same amount to her account each week. At the end of 2 weeks, she has \$130. At the end of 8 weeks, she has \$280. Write a linear function to represent the amount of money (y) Mrs. Knight has saved after x weeks.

i believe the answer is letter c) 8

step-by-step explanation:

7.666270253x10 raised to the 18th power

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:

b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

### Other questions on the subject: Mathematics

Mathematics, 21.06.2019, neariah24
Mathematics, 21.06.2019, ksiandua07