Question

Kelly is saving her money to buy a car. She has $250, and she plans to save $75 per week from her job as waitress.

a. Model the situation using an arithmetic sequence.

b. How much will kelly have saved after 8 weeks?

c. If the car costs $2000, how long will it take her to save enough money at this rate?


Please someone help me.

Answer 1

so she is essentially saving 250+n*75, where n is the number of weeks.


after 8 weeks she will have 250+8*75, (you need to substitute n for the number of weeks, which is 8)

which is
250+600=850

how many more does she need for a car?
she is still missing 2000-850, that is 1150. divide it by 75: it's a little more than 15: so she actually needs to save for 16 weeks after she's been saving for 8, that's a total of 24 weeks.


so in total it will take her 24 weeks (and she will have a little extra).