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3 years ago

Writing an equation and drawing its graph to model a real-world situation

Mathematics

1 answer:

Mariana [72]3 years ago

7 0

Answer:

A = B + 15

Step-by-step explanation:

Let Diane sold B books in one hour,

Additional earning by selling 1 book = 1$

Additional earning by selling B books = Number of books sold × Additional earning by selling one book

= B × ($1.00)

= $B

Fixed earning of Diane in one hour of part time = $15

Total earnings = B + 15

A = B + 15

Table to find the input-output values for the graph,

A 15 16 17 18

B 0 1 2 3

Now we can plot the points on the graph.

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At the mall, Leona bought a T-shirt and a book for a total of $34. The book cost $12. How much did the T-shirt cost?

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Answer:

a. the cost of the t-shirt

b. x+12=34

c. x=22

d. t-shirt cost 22$

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Which of the following steps were applied to ABCD to obtain A’B’C’D’?

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Answer:

c- shifted 3 units right and 4 units up

Step-by-step explanation:

In this problem, we have a quadrilateral named as ABCD. Recall that a quadrilateral is a two-dimensional shape having four sides. So, we need to identify what transformation has been performed to get A'B'C'D', which is the same quadrilateral shifted certain units right and up. So take one point, say, B, so how do we need to do to obtain point B'? well, we need to move that point 3 units right and 4 units up, but how can we know this? just count the number of squares you need to move from B to B' horizontally and vertically, which is in fact 3 units right and 4 units up.

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3 years ago

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A road crew is installing 2 storm drains along every 18 mile of highway.

Ugo [173]

The answer is 0.11111111111

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4 years ago

Bricks are stacked according to the pattern shown below.

Ganezh [65]

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

(just found it on brainly)

8 0

3 years ago

What is x. PLEASE HELP NEED ANSWERS NOW. M=

Agata [3.3K]

2(6x+20) +2(8x-16)=180
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I think so my calculation may be wrong )

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Writing an equation and drawing its graph to model a real-world situation ​

Writing an equation and drawing its graph to model a real-world situation