You and some friends are to the museum. each ticket cost $4.50

Solution: Part A

If n is the number of tickets purchased, write an equation that gives the total cost, c, of buying n tickets

We know that a ticket costs $4.50

Now if n tickets are purchased, the total cost is given below:

Therefore, the equation that gives the total cost, c, of buying n tickets is

Part B:

Suppose the total cost for n tickets is $36. What is the total cost if one more ticket is purchased?

The number of tickets purchased, if the total cost = $36 is:

Now if one more ticket is purchased, there will be 8 +1 =9 tickets.

Therefore, the cost of 9 tickets is:

Hence the total cost if one more ticket is purchased is $40.5

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places