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

Answer:

$r\geq 1\frac{1}{8}$

Step-by-step explanation:

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

It has rained $\frac{3}{8}$ inch already this week.

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

We can represent this information in an inequality as:

$\frac{3}{8}+r\geq 1\frac{1}{2}$

$\frac{3}{8}+r\geq \frac{3}{2}$

$\frac{3}{8}-\frac{3}{8}+r\geq \frac{3}{2}-\frac{3}{8}$

$r\geq \frac{3*4}{2*4}-\frac{3}{8}$

$r\geq \frac{12}{8}-\frac{3}{8}$

$r\geq \frac{12-3}{8}$

$r\geq \frac{9}{8}$

$r\geq 1\frac{1}{8}$

Therefore, the inequality $r\geq 1\frac{1}{8}$ 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.