Your car needs new brakes. You call a dealership and a local mechanic for prices. Cost of parts Labor cost per hour Dealership $24 $99 Local mechanic $45 $89 a. After how many hours are the total costs the same at both places

The indifference point is 2.1 hours.

Step-by-step explanation:

First, we need to calculate the total cost for each option:

Dealership:

Total cost= 24 + 99x

Local mechanic:

Total cost= 45 + 89x

x= number of hours

Now, we need to equal both formulas and isolate x:

24 + 99x = 45 + 89x

10x = 21

x= 2.1

The indifference point is 2.1 hours.

Prove:

Total cost= 24 + 99*2.1= $231.9

Total cost= 45 + 89*2.1= $231.9

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

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 ☺