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.

Step-by-step 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

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116