Question

Cinderella decides that her goal will be to sell 1 candy bar on the first day 3 candy bars on the second day, 9 the third day, and so on. Aurora decides that she will sell 75 candy bars on the first day, 85 the next day, 95 the following day, and so on. a. Write two equations to represent the number of candy bars Cinderella and Aurora sell. b. Which equation is linear and which is exponential? How can you tell? c. Who will sell more candy bars on the 8th day?

Answer 1

Answer & Step-by-step explanation:

a) For Cinderella's equation, we will write it as 3^(x-1) (x being the day)
For Aurora's equation, we will write it as 65+10n (x being the day)

b) Since Aurora's number only increases by 10 a day, that equation is linear. Since Cinderella's number increases by a greater amount everyday and has an exponent, her equation is exponential.

c) Plugging in 8 for x in each equation, we get
2178 for Cinderella and
145 for Aurora

Meaning that Cinderella will sell far more on the 8th day.