Question

Match the real-world problem to its constant of proportionality.

$18.36 for 3 pizzas [box]
$4.17 for 3 pounds of bananas [box]
$16.48 for 4 pounds of potatoes [box]
2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

Answer 1

6.12

1.39

4.12

12

Explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by
`k = (y)/(x)`

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is
`(18.36)/(3) = 6.12`

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is
`(4.17)/(3) = 1.39`

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is
`(16.48)/(4) = 4.12`

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is
`(24)/(2) = 12` (Answer)