Question

Marcus is saving to purchase his first car. He found a used Ford F-150 truck for $4500. Marcus has $300 in his savings account and will save $200 each week from his weekly paycheck.

a. Is this arithmetic or geometric?

b. Write the simplified explicit formula for the sequence.

c. How many weeks will it take to save for the truck?

d. Identify the domain and range for the sequence.

Answer 1

Explanation:

A.) It is arithmetic since its says that Marcus will save $200 each week.

B.) f(x)=$4500-($300+200x) = $4200-$200x; x represents the number of weeks, f(x) represents the amount of money Marcus still has to pay to get the truck.

C.) $4200-$200x=0; find x. $4200 = $200x; x = 21 weeks

D.) Domain: 0-21 weeks Range: $0-$4200