Ernesto baked 3 cakes in 2.5 hours. assume that the number of cakes baked varies directly with the number of hours. write and solve a direct variation equation to find how many cakes can he bake in 7.5 hours.

He can bake 9 cakes in 7.5 hours.

Step-by-step explanation:

Given : Ernesto baked 3 cakes in 2.5 hours.

Ratio of number of cakes time =  (1)

Let x be the number of cakes made in  7.5 hours.

Then, Ratio of number of cakes time =  (2)

We assume that the number of cakes baked varies directly with the number of hours.

Then from (1) and (2), we have

Multiply 7.5 on both the sides, we get

Hence, he can bake 9 cakes in 7.5 hours.

look in attachments

step-by-step explanation:

a = (-2, 0)

b= (-4, 0)

c = (-5,2)

d = (-1,2)