Lucy earned $400 and $550 in interest the last 2 years. describe the average interest she should earn in each of the next 3 years so that her total earnings over the 5-year period are at least $2300.

The minimum average interest she should earn in each of the next 3 years is $450

Step-by-step explanation:

Let

x -----> the average interest she should earn in each of the next 3 years

we know that

The sum of the amount earned over the 5-year period must be greater than or equal to $2,300

The inequality that represent this situation is

Solve for x

Combine like terms left side

subtract 950 both sides

Divide by 3 both sides

therefore

The minimum average interest she should earn in each of the next 3 years is $450

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!