For a fundraiser, Marcus needs to raise $600 in order to meet his goal. Marcus will walk a certain number of miles, and he will receive donations for each mile he walks. The table represents the amount of money he has left to raise after x miles of walking.
x-2, 4, 6, 8, 10, 12
g(x) 536, 472, 408, 344, 280, 216
What is the average rate of change over the interval [6, 10]?

-32

Step-by-step explanation:

Step 1:

The  rate of change over an interval is got by finding the change in g(x),  the change in x and dividing it.

Step 2:

Given, x denotes the number of miles walked by Marcus for the fund raiser

g(x) denotes the amount of money he has left to raise after x miles of walking

g(x) for the interval [6,10] is 408,280

Change in x  = 10-6 = 4

Change in g(x) = 280-408 = - 128

Rate of change = -128/4 = -32

Hence the average change in rate over the given interval is -32

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!