Roger lives in Orlando but just started a new job in Tampa. Every Monday he drives his car 95 miles from Orlando to Tampa, spends the week in a company apartment, and then drives back to Orlando on Friday. He doesn't use his car for anything else. After 20 weeks of this, his odometer shows that he has travelled 84,000 miles since he bought the car. 1.) Write a linear model which gives the odometer reading of the car as a function of the number of weeks since Roger started the new job.
f(x) = __x+__

2.) If he plans to buy a new car when his odometer reaches 100,000 miles, about when will Roger buy his car?
a.) about 104 weeks
b.) about 168 weeks
c.) about 120 weeks
d.) about 12 weeks

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺