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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

User Fraff
by
7.9k points

2 Answers

4 votes

Answer:


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.

User Timotree
by
7.9k points
7 votes
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.
User Dan Dye
by
8.8k points
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