Piece of Cake Bakery runs a cupcake catering service through which the price per cupcake is inversely proportionalto the number of cupcakes ordered. If the bakery charges $0.85 per cupcake for an order of 100 cupcakes, what isthe price per cupcake for an order of 50 cupcakes?

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AarnavZ549934 AarnavZ549934 · Answer 1 · 2022-11-03T07:03:52+01:00

Piece of Cake Bakery runs a cupcake catering service through which the price per cupcake is inversely proportional

to the number of cupcakes ordered. If the bakery charges $0.85 per cupcake for an order of 100 cupcakes, what is

the price per cupcake for an order of 50 cupcakes?

Let

x ------> number of cupcakes

y -----> price per cupcake

Remember that

If the relationship between variable x and variable y is inversely proportional

then

y*x=k

where k is the constant of proportionality

so

step 1

Find the value of k

we have that

For x=100 ------> y=0.85

0.85*100=k

k=85

therefore

the equation is

y*x=85

step 2

For x=50

Find the value of y

y*50=85

y=85/50

y=$1.70