Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent
No, for it to be a right triangle the last length would need to be 2.5 not 3
Answer:
answer is 51
Step-by-step explanation:
Hello there!
The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.
Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8) m(slope)=-1/3
8=1(-1/3)+b
Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3
Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3
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:

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:






Thus, 750 lollipops must be sold.