What is the following product? 30. 10 2.110 3.10 4./10 10/5

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

If f(x) = 2x² - 6x + 8, find f(a - 2).

yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

7 0

2 years ago

Jennifer's grandmother buys carrots at a farm stands she and her three children equally share the carrots the total weight of th

juin [17]

Answer:

jennifer will get alot of carrots

Step-by-step explanation: good eyesight

7 0

2 years ago

(PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers

soldi70 [24.7K]

Answer:

production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x^2 − 7x + 300

2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x g(x)

0.6 899.58

0.8 899.52

1 899.50

1.2 899.52

1.4 899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x f(x) = 0.05x^2 − 7x + 300 g(x)

0.6 295.818 899.58

0.8 294.432 899.52

1 293.05 899.50

1.2 291.672 899.52

1.4 290.298 899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

Answer: Based on the given information, the minimum production cost for company 2 is greater.

Step-by-step explanation:

5 0

3 years ago

Which graph shows a dilation of a rectangle with a scale Factor of 1/3?

yaroslaw [1]

Answer:

The first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

Step-by-step explanation:

A dilation is said to be a transformation which generates an image that is the same shape as the original object, but has a different size.

If the scale factor is greater than 1, then the image will be enlarged. In other words,

scale factor > 1, image will be enlarged

If the scale factor is greater than 0 but less than 1, then the image will be reduced. In other words,

0 < scale factor > 1, the image will be reduced

Considering the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).

According to dilation rule, when a figure is dilated by a scale of factor of 1/3, the the coordinates of that point are multiplied by 1/3. So,

(x, y) → (1/3x, 1/3y)

So, lets apply this on the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).

For (-6, 0)

(x, y) → (1/3x, 1/3y) = (-6, 0) → (-2, 0)

For (0, 6)

(x, y) → (1/3x, 1/3y) = (0, 6) → (0, 2)

For (6, 0)

(x, y) → (1/3x, 1/3y) = (6, 0) → (2, 0)

For (0, -6)

(x, y) → (1/3x, 1/3y) = (0, -6) → (0, -2)

So, the image rectangle will have the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

Therefore, the first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

So, correct picture is also attached below.

Keywords: dilation, transformation, quadrilateral

Learn more dilation and transformation from brainly.com/question/13625798

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7 0

3 years ago