Choose what the expressions below best represent within the context of the word problem.

if sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is sarah?

x best represents .

x - 24 best represents .

Step-by-step explanation:

x best represents mother's age.

x - 24 best represents Sarah's age.

Sum of their ages is 68

That is

                 x + x -24 = 68

                2x = 68 + 24

                 2x = 92

                    x = 46

Sarah's age = x -24 = 46 -24 = 22

x best represents mother's age.

x - 24 best represents Sarah's age.

Age of Sarah is 22

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of