Ahome cleaning service takes more time to clean larger spaces. the table shows the number of minutes it takes for the service to clean a certain number of square feet within a home.

square feet and cleaning time
number of square feet, x
50
80
100
150
time in minutes, y
20
32
40
60

based on the table, how many minutes would it take for the service to clean 200 square feet?
20 minutes
80 minutes
125 minutes
400 minutes
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Hence, the time taken to clean 200 square feet is:

                                 80 minutes.

The table is given as follows:

Number of Square Feet, x                 Time in Minutes, y

             50                                                    20

             80                                                    32

            100                                                    40  

            150                                                    60  

Clearly we may observe that the slope for each of the data point is constant.

i.e.

Also,

and,

Hence, the relationship is linear.

So, we will find the linear function.

As (50,20) is one of the ordered pair.

Hence,the linear function passing through one point i.e. (a,b) and given slope m is given by:

Here we have:

Hence,

Now, we are asked to find the value of y when x=200

Hence,

Hence, the time required to clean 200 square feet is:

                             80 minutes.

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