QuestionQuestion 14 of 25 The cost, $y$ , of red grapefruit can be represented by the equation $y=2 x$ , where $x$ is the number of pounds of red grapefruit.
The graph shows the cost of pink grapefruit. Which type of grapefruit costs more per pound?
Cost of Pink Grapefruit A. Red and pink grapefruit cost the same. B. Pink grapefruit C. Red grapefruit

Studdy Solution

STEP 1

1. The cost of red grapefruit is given by the equation $y = 2x$ .
2. The cost of pink grapefruit is represented by a graph.
3. The graph of pink grapefruit passes through the points (0,0) and (5,10).

STEP 2

1. Determine the cost per pound for red grapefruit.
2. Determine the cost per pound for pink grapefruit using the graph.
3. Compare the costs per pound and decide which grapefruit costs more.

STEP 3

The equation for red grapefruit is $y = 2x$ , where $y$ is the cost and $x$ is the number of pounds. The coefficient of $x$ is 2, indicating that red grapefruit costs $2 per pound.

STEP 4

To find the cost per pound for pink grapefruit, use the points from the graph. The line passes through (0,0) and (5,10).
Calculate the slope (cost per pound) using the formula for slope: $\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2$
This means pink grapefruit also costs $2 per pound.

STEP 5

Compare the costs per pound: - Red grapefruit: $2 per pound - Pink grapefruit:$ 2 per pound
Since both costs are equal, the answer is:
A. Red and pink grapefruit cost the same.
The final answer is:
$\boxed{\text{A. Red and pink grapefruit cost the same.}}$

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