chef allen wants to know how much he will play for different amounts of beans

Question

plot two points that show the cost of 15 points and 20 pounds of beans

one point is at 5,4 and another is at 10,8

Answer 1

The points would be represented as (15,4) and (20,8) on a graph. This indicates that for 15 pounds of beans, the cost would be $4, and for 20 pounds of beans, the cost would be $8.

Answer 2

so where would the two other points go

Answer 3

If we continue with the given pattern:

For 25 pounds of beans, the cost would be $12 (point: 25, 12)
For 30 pounds of beans, the cost would be $16 (point: 30, 16)

Answer 4

the ordered pair (?,?) represents the cost of 20 pounds of beans.

the 4 points are at 5,4 10,8 15,12 25,16

Answer 5

Got it. So, if the 4 points are at (5,4), (10,8), (15,12), and (25,16) representing the cost of 20 pounds of beans, the points would be:

(20, ?)

To find the cost for 20 pounds of beans:

We know the cost for 15 pounds of beans is $12 and for 25 pounds of beans is $16.

So, we can calculate the cost for 20 pounds of beans.

Cost for 20 pounds of beans:
= Cost for 15 pounds + ((Cost for 25 pounds - Cost for 15 pounds) / 10) * (20 - 15)
= $12 + (($16 - $12) / 10) * 5
= $12 + ($4 / 10) * 5
= $12 + $2 = $14

So, the ordered pair representing the cost of 20 pounds of beans is (20,14).

Answer 6

it has to be an existing point on the graph

Answer 7

Got it. Using the points (5,4), (10,8), (15,12), and (25,16) as reference, if we are looking for the cost of 20 pounds of beans, we can find it by interpolation:

For 20 pounds of beans, we would be between (15,12) and (25,16). To find the cost at 20 pounds, we can calculate the average increase in cost per pound and apply it to 20 pounds.

Average increase in cost per pound = (Cost for 25 pounds - Cost for 15 pounds) / (25 - 15)
= ($16 - $12) / 10
= $4 / 10
= $0.4

Cost for 20 pounds ≈ Cost for 15 pounds + (20 - 15) * Average increase in cost per pound
≈ $12 + 5 * $0.4
≈ $14

So, the approximate cost for 20 pounds of beans is $14. The point would be (20,14).

Answer 8

are you sure

Answer 9

My apologies for the confusion. Let me correct that calculation:

Given points: (15,12) and (25,16)

To find the cost of 20 pounds of beans using interpolation:
Cost for 20 pounds ≈ Cost at 15 pounds + [(Cost at 25 pounds - Cost at 15 pounds) / (25 - 15)] * (20 - 15)

Cost at 15 pounds = $12
Cost at 25 pounds = $16

Cost for 20 pounds ≈ $12 + [($16 - $12) / (25 - 15)] * (20 - 15)
Cost for 20 pounds ≈ $12 + ($4 / 10) * 5
Cost for 20 pounds ≈ $12 + $2
Cost for 20 pounds = $14

Therefore, the correct ordered pair representing the cost of 20 pounds of beans is (20,14), which aligns with the result from interpolation.