Question

Mr. Simon landscapes new houses for a building contractor. He charges by the square meter of yard space plus a setup fee. He billed the contractor $2,150 for a 400-square- meter yard and $1,650 for a 300-square-meter yard. Write an equation in the form
y = mx + b that can be used to find the cost, y, to landscape any amount of yard space, x.

Answer 1

Answer:

Therefore the equation that can be used to find the cost is given by

    y = 5x + 150  where y is the total cost and x is the number of yards.

Step-by-step explanation:

i) let setup fee be $b.

ii)let the landscaping charge per square meter is $m

iii)the equation for the 400 square meter yard is given by

    2150 = 400m + b

iv) the equation for the 300 square meter yard is given by

    1650 = 300m + b

v) Subtracting the equation in iv) from the equation in iii) we get

   100m = 500.

vi ) Therefore m = 5.

vii)  therefore 2150 = (400 $\times$ m) + b = (400 $\times$ 5) + b = 2000 + b

     therefore b = $150

 viii) therefore the setup fee is given by b = $150

ix) Therefore the equation that can be used to find the cost is given by

    y = 5x + 150  where y is the total cost and x is the number of yards