Question

Hector waters his lawn if it does not get least 1 1/2 inches of rain each week. it has rained 3/8 inch already this week. which inequality represents the number of inches of rain,r, hector lawns still needs so that he won't have to water it

Answer 1

`r\geq 1(1)/(8)`

Explanation:

Let r represents the number of inches of rain Hector's lawn still needs.

It has rained
`(3)/(8)` inch already this week.

We have been given that Hector waters his lawn if it does not get least
`1(1)/(2)` inches of rain each week.This means the amount of it already rained this week plus r should be greater than or equal to
`1(1)/(2)`.

We can represent this information in an inequality as:

`(3)/(8)+r\geq 1(1)/(2)`

`(3)/(8)+r\geq (3)/(2)`

`(3)/(8)-(3)/(8)+r\geq (3)/(2)-(3)/(8)`

`r\geq (3*4)/(2*4)-(3)/(8)`

`r\geq (12)/(8)-(3)/(8)`

`r\geq (12-3)/(8)`

`r\geq (9)/(8)`

`r\geq 1(1)/(8)`

Therefore, the inequality
`r\geq 1(1)/(8)` represents the inches of rain Hector's Lawn still needs.

Answer 2

Given:

Rain required = 11.5 inches/week
It rained = 3/8 inch this week

Working equation:

The number of inches of rain, r, Hector's lawn still needs so that he won't have to water it.

11/2 ≤ 3/8 + r

where r is the number of inches of rain needed by Hector's lawn.