Question

answeredThere are two landscaping companies based in Middlefield: Lavish Lands and GreenerGrounds. Lavish Lands can cut 6 acres of grass in 12 hours. This table shows how longit takes Greener Grounds to cut different amounts of grass:1TimeelapsedGreener GroundsHours Acres of grass cut42.000845105SmartScoreout of 10014728Assuming each company cuts grass at a constant rate, which company cuts grassfaster?Lavish LandsGreener GroundsNeither; the rates are the same.Submit4616

Answer 1

Neither; the rates are the same.

Step-by-step explanation:

Given that;

Lavish land can cut 6 acres in 12 hours.

Also for Greener ground as shown on the table;

It can cut 2 acres in 4 hours

Let us find the unit rate of each;

For Lavish land the amount they can cut in 1 hour is;

`\begin{gathered} r_1=\frac{6\text{ acres}}{12\text{ hours}} \\ r_1=0.5\text{ acres/hour} \end{gathered}`

Also for Greener ground;

The rate is;

`\begin{gathered} r_2=\frac{2\text{ acres}}{\text{4 hours}} \\ r_2=0.5\text{ acres/hour} \end{gathered}`

Therefore, they both have the same rate.

Neither of them cuts faster.