Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
[tex]y=0.5x+125[/tex]
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
[tex]500=0.5x+125[/tex]
[tex]500-125=0.5x[/tex]
[tex]375=0.5x[/tex]
[tex]\frac{375}{0.5} =x[/tex]
[tex]375*2=x[/tex]
[tex]750=x[/tex]
Thus, 750 lollipops must be sold.
