The given equation represents the total cost, where x is the number of jackets and y the number of pants.
In order to graph the equation, we will first determine the intercepts. Let's start with the x-intercept. To find it, we will substitute 0 for y and solve the equation for x.
The y-intercept is at the point (0,40). 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.
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 15 employees. they need 15 jackets and 15 pants. We should now evaluate if the cost for 15 jackets and 15 pants less than or equal to Mathleaks' budget. Thus, we can rewrite the equation to an inequality.
By substituting x and y with 15 we'll find out!