Question

Millie needs the average height of the plants she is buying to be atleast 73 inches. She has selected three plants that are 70, 71, and 72 inches tall. Write and solve an inequality that Millie could use to determine the possible heights of her fourth plant.

Answer 1

Find out the possible heights of her fourth plant.

To prove

Let us assume that the possible heights of her fourth plant be x.

As given

Millie needs the average height of the plants she is buying to be atleast 73 inches.

She has selected three plants that are 70, 71, and 72 inches tall.

Average formula

`Average formula = (Total\ heights \ of\ plants)/(Total\ number\ of\ plants)`

Put the value

Here Total numbers of flowers = 4

Put in the formula

`73\leq (x + 70 + 71 +72)/(4)`

`73* 4 \leq (x + 70 + 71 +72)`

`292 \leq x + 213`

`292 - 213 \leq x`

79 ≤ x

Therefore the possible height of the fourth plant be 79 .