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Scrat [10]
3 years ago
9

You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa

rt B: If you purchase 12 books, write the total cost in function notation.
Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

Part A) see the explanation

Part B) C(12)=\$54

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form k=\frac{C}{x} or C=kx

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B)  we know that

The linear equation is given by

C=kx

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

k=\$4.50\ per\ book

so

C=4.50x

For x=12 books

substitute in the equation and solve for C

C=4.50(12)=\$54

In function notation

C(12)=\$54

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Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

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y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

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The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

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A rectangular flower garden in Samantha’s backyard has 100 feet around its edge. The width of the garden is 20 feet. What is the
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225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the seco
USPshnik [31]

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

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2 years ago
The length of a log of wood is 90 in. How many cuts do you need to make to obtain
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The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

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After solving, we will get a quadratic equation:

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After solving, we will get:

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n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

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2 years ago
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