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James earns a monthly salary of $1200 and a
commission of $125 for each car he sells.
a. Graph an equation that represents how much James earns in a
month in which he sells x cars.
b. Use the graph to estimate the number of cars James needs to
sell in order to earn $5000.


Sagot :

a) The graph of the equation that represents how much James earns in a

month in which he sells x cars is plotted below

b) From the graph, James needs to sell 30 cars to earn $5000

Let the fixed salary be represented by a

a  =  $1200

The commission for each car James sells = $125

Let the number of cars that James sells per month be x

The monthly earning of James = The fixed salary + (Commission x Number of cars)

Let the monthly earning be represented by y

y   =  1200  +  125x

The graph of the equation y = 1200 + 125x is plotted below

From the graph shown, the number of cars James needs to sell in order to earn $5000 will be estimated by finding the value of x that corresponds to $5000

When y = 5000,  x  =  30.4

x  =  30 (Approximated to the nearest whole number)

From the graph, James needs to sell 30 cars to earn $5000

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