Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.

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Step-by-step explanation:

Given

Edge Landscaping:

The rates (m) of the above table is calculated using:

From the table, we have the following points

So, the rate is:

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

Where:

In other words, if the equation is:

Then the rate is: 20 ($20/hour)

If the equation is:

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

For Gatewood, we have:

------------ assume the equation is:

Compare the rates:

Hence, Edge landscaping has a greater hourly rate