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lys-0071 [83]
2 years ago
10

A bottle of water cost $1.50 explain how you would make a graph of four ordered pairs to model the total cost of the water in te

rms of the number of bottles

Mathematics
2 answers:
oksano4ka [1.4K]2 years ago
6 0

Answer:

The graph in the attached figure

see the explanation

Step-by-step explanation:

Let

x -----> the number of bottles

y ----> the total cost of the water

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

This problem represent a direct (proportional) variation

so

For x=1, y=$1.50

k=y/x -----> k=1.50/1=1.50

The linear equation is equal to

y=1.50x

<u><em>Find the ordered pairs</em></u>

First

(1,1.50)

Second

For x=2

Find the value of y

Substitute in the equation

y=1.50(2)=3

The point is (2,3.00)

Third

For x=3

Find the value of y

Substitute in the equation

y=1.50(3)=4.50

The point is (3,4.50)

Fourth

For x=4

Find the value of y

Substitute in the equation

y=1.50(4)=6.00

The point is (4,6.00)

The four ordered pairs are

(1,1.50), (2,3.00),(3,4.50) and  (4,6.00)

using a graphing tool

plot the points

murzikaleks [220]2 years ago
6 0

Answer:

Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).

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There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val
polet [3.4K]

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and  total number of regular tickets.

So the equation can be written as;

x+y=120\ \ \ \ \ equation\ 1

Again,total amount  is the sum of total number of premium tickets multiplied by cost of each premium ticket and  total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

99x+25y=5812\ \ \ \ equation\ 2

Now We will multiply equation 1 by 25 we get;

x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3

Now Subtracting equation 3 from equation 2 we get;

(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38

We will now substitute the value of x in equation 1 we get;

x+y=120\\38+y=120\\y=120-38\\y=82

Hence There are 38 premium tickets and 82 regular tickets in a pile.

3 0
2 years ago
Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t
svetlana [45]

The correct option is B,  II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

r = (1 + \dfrac{i}{n} )^n - 1.

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B,  II. only.

To know more visit:

brainly.com/question/15846526

4 0
2 years ago
PLEASEEEE
belka [17]

Answer:

The answer to your questions is: 25 new teachers

Step-by-step explanation:

Data

# of students = 2000

ratio = 3:80 teachers to students

New teachers = ?

Process

I suggest to use rule of three to solve this problem

                     3 teachers ----------------  80 students

                      x                ----------------  2000 students

                  x = (2000 x 3) / 80 = 75 teachers

               Number of initial teachers = 75

The ratio change to 1:20

                     1 teacher -------------------  20 students

                     x             -------------------   2000 students

                     x = (2000 x 1) / 20

                    x = 100 teachers

Number of new teachers = 100 - 75 = 25

3 0
3 years ago
Help me please thank you.
Alexus [3.1K]
J would have to say that the answer is d. im sorry if im wrong.
4 0
2 years ago
Read 2 more answers
Which graph represents a proportional relationship .
ZanzabumX [31]

Answer:

Answer choice C

Step-by-step explanation:

This is the only graph which has a linear equation and starts from 0,0.

3 0
2 years ago
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