Question

If 30 gumballs can be purchased for 3 dollars, write a function that represents the cost in cents of ‘d' dozen gumballs.

Answer 1

The function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .

Explanation:

As given

If 30 gumballs can be purchased for 3 dollars .

i.e

30 gumballs = $3

Now find out the cost of one gumballs .

`1\ gumballs = \$ (3)/(30)`

`1\ gumballs = \$ (1)/(10)`

`1\ gumballs = \$\ 0.1`

As 1 dollar = 100 cents

`1\ gumballs = 0.1* 100\ cents`

`1\ gumballs = (1* 100)/(10) \ cents`

1 gumballs = 10 cents

Thus the cost of one gumball is 10 cents .

As d = dozen gumballs.

Let us assume that the cost for ‘d' dozen gumballs = y

Than the function becomes

y = 10d

Therefore the function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .