Question

Toby is buying apples. Red delicious apples, x, cost $2 per pound. Braeburn apples, y, cost $3 per pound. He wants to buy at least 10 pounds of apples, but spend no more than $24. Which graph represents this situation?

Answer 1

it's A (the first graph)

Explanation:

Answer 2

Please see the attachment for graph.

Explanation:

Toby is buying apples. Red delicious apples and Braeburn apples.

Let x pounds of Red Delicious apple and y pound of Braeburn apples.

Cost of 1 pound of Red delicious apple = $2

Cost of x pound of Red delicious apple = 2x

Cost of 1 pound of Braeburn apple = $3

Cost of y pound of Braeburn apple = 3y

According to question:

He wants to buy at least 10 pounds of apples

Therefore, x+y≥10

He spends no more than $24

Therefore, 2x+3y≤24

We get two inequality

x+y≥10

2x+3y≤24

Now we draw the graph of both inequality

We make table of x and y of both equation

Table 1: x+y≥10

x 0 6 10

y 10 4 0

Test point (0,0). We get FALSE. Shaded portion away from origin.

Table 2: 2x+3y≤24

x 0 6 12

y 8 4 0

Test point (0,0). We get TRUE. Shaded potion towards origin.

Plot the points on graph and see the attachment.