Jackie is selling smoothies at a school fair. she starts the day with $15 in her cash box to provide change to her customers. if each smoothie costs $3.75, which graph represents the balance of the cash box, y, after jackie sells x smoothies?

the answer would be D

Answer with Step-by-step explanation:

Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers.

Each smoothie costs $3.75, then cost of x smoothies is: $3.75x

Then, y=3.75x+15

When x=0 y=15

when x=4 y=3.75×4+15

             i.e.   y=30

The only graph which satisfies y=0 at x=0 and y=30 at x=4 is D.

Hence, the correct graph is:

D.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2