Question

the table shows how much jake charged for the last 4 orders of pup cakes. what is the constant of proportionality in cost per pup cake?

Answer 1

Option 3rd is correct

$2.5 is the constant of proportionality in cost per pup cake

Explanation:

The direct proportionality states that:

`y \propto x`

then the equation is in the form of :

`y = kx` ....[1]

where, k is the constant of proportionality.

As per the statement:

The table shows how much Jake charged for the last 4 orders of pup cakes.

Let y represents the cost and x represents the pup-cakes

Consider any values of x and y from the given tables.

x = 3 and y = $7.5

To find constant of proportionality in cost per pup cake.

Substitute these in [1] we have;

`7.5 = 3k`

Divide both sides by 3 we have;

2.5 = k

or

k = 2.5

Therefore, $2.5 is the constant of proportionality in cost per pup cake

Answer 2

$2.50

Explanation:

Let's take a look at the 4 orders and check the price per pup cake in each order:

Order 1: $5 for 2 cakes, so $2.50 per cake.

Order 2: $7.50 for 3 cakes, so $2.50 per cake.

Order 3: $12.50 for 5 cakes, so $2.50 per cake.

Order 4: $20.00 for 8 cakes, so $2.50 per cake.

Jake has a very consistent pricing of his cakes... they're always $2.50 each.

That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.