Mathematics : asked on diemiten
 28.06.2021

Buying one movie ticket online costs $16.50. two tickets cost $30.50. assuming that the relationship is linear, use the drop down menus to complete the recursive formula, the function to represent the cost c of n tickets bought online, and the domain of the function. recursive formula: an=an−1 + ; a1 = function: c(n) = + domain: {0, , . .}

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Step-by-step answer

17.02.2022, solved by verified expert
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34 students found this answer . helpful

The cost of movie tickets follows an arithmetic pattern.

The recursive formula is Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04The domain of the function is: Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

The given parameters are:

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04 --- the cost of one movie ticket

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04 --- the cost of two movie tickets

(a) The recursive formula

Express 30.50 as 16.50 + 14

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Substitute Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Express 1 as 2 -1

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Substitute n for 2

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Express as a function

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Hence, the recursive formula is Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

(b) The domain

The number of tickets cannot be negative.

So, the domain of the function is: Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Read more about functions at:

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Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

substitute the values

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Find the equation of the line in slope intercept form

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

we have

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

substitute

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

substitute

Buying one movie ticket online costs .50., №15222588, 28.06.2021 14:04

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

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