MATHEMATICS HIGH SCHOOL

Last week, Hazel paid $32 to have 50 reports printed. This week, she paid $57 to have 100 reports printed. Assume the relationship is linear. Which equation models the relationship between the number of reports,x, and the and the cost, y, ?

Answers

Answer 1

Answer:

Answer: Relationship between the number of reports and the cost of reports printed is given by

$2y-x=14$

Step-by-step explanation:

Let the number of reports be x

Let the cost of report printed be y

Since we have given that for 50 reports he is paid $32

and for 100 reports printed he is paid $57.

So we have (50,32) and (100,57)

To get the relationship between the number of reports x, and the cost y , we find the slope using two points mentioned above.

As we know the formula for two point slope form :

$m=(y_2-y_1)/(x_2-x_1)\n\nm=(57-32)/(100-50)\n\nm=(25)/(50)\n\nm=(1)/(2)$

Now, using the equation of line using two point slope form:

$y-32=(1)/(2)(x-50)\n\n2(y-32)=x-50\n\n2y-64=x-50\n\n2y-x=-50+64\n\n2y-x=14\n$

∴ This is the required relationship between the number of reports and the cost of reports printed.

Answer 2

Answer: 32y=50x
57y=100x
Simplify:
y=1.5x
y=1.75x

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Solve for d.
120 - 11d + 2d + 4d - 5 = 16

Answers

Answer:

120 - 11d + 2d + 4d - 5 = 16

-5d = - 99

5d = 99

D = 19.8

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The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month?

(A)5.92 dollars per month
(B) 3.75 dollars per month
(C) Five dollars per month
(D) Nine dollars per month

Answers

Average rate of change= $(0-(-36))/(18-12)= (36)/(6)=6$
The closest approximate average rate of change is :A) 5.92 dollars per month.

Based on the calculations, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

How to calculate the closest approximate average rate of change?

In order to calculate the closest approximate average rate of change based on the values contained in the graph, we would use the slope formula as follows:

$Slope = (Change\;in\;y\;axis)/(Change\;in\;x\;axis)\n\nSlope = (y_2\;-\;y_1)/(x_2\;-\;x_1)$

Substituting the given points into the formula, we have;

$Slope = (0\;-\;(-36))/(18\;-\;12)\n\nSlope = (36)/(6)$

Slope = 6.

Therefore, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

Read more on slope here: brainly.com/question/3493733

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How would you write 4.03 as a mixed number in simplest form?

Answers

The largest whole number would be 4 and the .03 is 3/100.

Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are about 3 apples in each pound. About how many apples did Carlos' apple trees produce? Please show how it is done. Thank you

Answers

3 x 48 = 144 (this is how many apples in 1 bushel)

144 x 315 = 45,360

45,360 is your answer

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A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

Observe the variableterms from the given statement
Add/subtract required terms according to the word's 'total or difference' given in the statements
Multiply/divide required terms according to the words 'more or less given the statements
Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12 ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correctset of equations for the given system.

Learn more about writing equations from words here:

brainly.com/question/11567221

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I would go with the second answer

Subtract 5-3 1/3 fraction