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Graphing Linear Functions in Standard Form

Graphing Linear Functions in Standard Form 1.9 - Solution

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a
The given equation represents the total cost, where is the number of jackets and the number of pants. In order to graph the equation, we will first determine the intercepts. Let's start with the intercept. To find it, we will substitute for and solve the equation for
Solve for
The intercept is at the point For the intercept, we will substitute for and solve it for
Solve for
The intercept is at the point Finally, we will plot the intercepts and connect them to graph the equation. Notice that the number of the shirts cannot be negative, and thus our graph will be restricted to the first quadrant.
b
In order to find out if Mathleaks can afford suits for all employees or not, we need to determine how many jackets and pants they need. With employees. they need jackets and pants. We should now evaluate if the cost for  jackets and pants less than or equal to Mathleaks' budget. Thus, we can rewrite the equation to an inequality. By substituting  and  with we'll find out!
As a result, Mathleaks can afford suits for their entire staff.