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.

Verified Answer :

Answer:

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

\(400+550+3x \geq 2,300\)

Solve for x

Combine like terms left side

\(950+3x \geq 2,300\)

subtract 950 both sides

\(3x \geq 2,300-950\)

\(3x \geq 1,350\)

Divide by 3 both sides

\(x\geq \$450\)

therefore

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