Ask question

Ask question

All categories

3 years ago

5

An amusement park has two types of season passes. Plan 1 charges a one-time fee of $170.00 for admission plus $8.00 every trip f

or parking. Plan 2 charges a one-time fee of $93.00 for parking plus $15.00 every trip for admission. For what number of trips is the cost of these plans the same?

2 answers:

BARSIC [14]3 years ago

6 0

You would start out by writing the two equations of the plans.
Plan 1: 170 + 8x
Plan 2: 93 + 15x
Then set both equations equal to each other:
170 + 8x= 93 + 15x
Then substrate 8x from both sides:
170=93+7x
Then subtract 93 from both sides:
77=7x
(Remember you can only subtract or add terms from/ to other like terms, ie: 7x-7x or 170-93 NOT 93-7x this would not work)
Then divide both sides by 7:
11=x
Your answer would be 11.

N76 [4]3 years ago

4 0

Eleven trips would make the cost the same.

You might be interested in

(1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe

Salsk061 [2.6K]

Answer:

N(t) = 0.188t + 22.76

Step-by-step explanation:

Number of licensed drivers in 2004 = 22.76 million

Number of licensed drivers in 2009 = 23.7 million

Number of licensed drivers, N as a function of t since year 2004 ;

General form of a linear function :

y = mx + c

c = intercept ; m = slope

Intercept c = value of y ; when x = 0

Here, population after uerssmmx,

Hence,

In 2004 ;

22.76 = mx + c

x = 0

22.76 = c

Number in 2009

x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years

We can find the slope :

y = m*5 + 22.76

y = 23.7 in 2009

23.7 = 5m + 22.76

23.7 - 22.76 = 5m

m = 0.94 / 5

m = 0.188

Hence, the linear function can be written as :

N(t) = 0.188t + 22.76

8 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

Using partial quotients 5,166 divide by 42

Y_Kistochka [10]

Answer: 123

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Assessments.momaxcom student

Lady_Fox [76]

Answer:

$0.19

Step-by-step explanation:

8 0

3 years ago

What does 5^3 mean or symbolize?

IrinaK [193]

5^3 is 5 to the power of 3 that is equal to 5x5x5=125

6 0

3 years ago

Read 2 more answers