1) The salesman needs to sell at least 25 phones to make more than $1,200 this week.
2) The graph of the equation is given by y = 300 + 36x, such that when x = 25, y = 1,200, representing the minimum earnings the salesman needs to make.
1) The total earnings for an employee for this week = $1,200
Let the number of phones the salesman sells = x
The total earnings equation:
300 + 36x = 1,200
Solving this equation for x:
300 + 36x = 1,200
36x = 1,200 − 300
36x = 900
x = 900/36
x = 25
Thus, the salesman needs to sell at least 25 phones to make more than $1,200 this week.
2) The graph of the equation y = 300 + 36x
Slope = 36
y-intercept = 300
In the graph, the line crosses the y-axis at y = 300 and increases by 36 units for each unit increase in x. Any point on the line above y = 1,200 represents the earnings the salesman makes when he sells more than 25 phones.
Complete Question:
A phone company wants their employee to make more the $1,200 this week. If the salesman makes a weekly salary of $300, plus $36 on each phone that he sells, solve for x and graph the number of phones that he can sell.