Cherries cost $5 for 2 pounds and $7.50 for 3 pounds. What is the cost per pound?
b. Is it constant?
c. If you were to graph this situation, would you put weight or cost on the x-axis? Which one would you put on the y-axis?
d. Plot the two points described.
e. How much would 5 pounds of cherries cost? What did you do to solve this problem?

Cherries cost $2.50 per pound

Yes, it is constant.

Weight would go on the x-axis and the cost would go on the y-axis.

The two points are (2, 5) and (3, 7.5)

5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.

Step-by-step explanation:

$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).

To find the cost per pound, input the two points into the slope formula:

Solve:

7.5 - 5 = 2.5

3 - 2 = 1

= 2.5

The cost of cherries per pound is $2.50. This is our slope.

The equation that represents the cost of cherries for x amount of pounds is:

y = 2.5x

To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:

y = 2.5(5)

y = 12.5

5 pounds of cherries would cost $12.50.

I hope this helps :)

In slope-inteecept form the equation of a line is:

y = mx + b

...where b represents the y-intercept and m represents the slope

In this problem, the y-intercept is 7 because you can see that the line intersects the y-axis at the coordinate (0, 7).

The slope is negative because the line is going down when being read from left to right. Two ways you can find the slope of the line is by calculating the rise/run of the line (how many units the line goes up/down by how many units the line goes to the right).

You can also find the slope using the equation :

m = y2 - y1 / x2 - x1

Substitute the coordinates (the order doesn't matter as long as the coordinates correspond).

m = -2 - 7 / 8 - 0

m = -9 / 8

The slope is -9/8.

Combine the information you now know into the line's equation.

Solution: y = - 9/8x + 7