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Mila [183]
3 years ago
10

What are the possible values of x and y for two points (5,-2)

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Any number can be x and y

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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
Help on this would be greatly appreciated
Veseljchak [2.6K]
Try photo math or google it. Best luck!
7 0
3 years ago
What the value of 6(2b-4} when b=5
Artist 52 [7]

Answer:

6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\  = 6(10 - 4) \\ = 6(6) \\  = 36 \\ thank \: you

8 0
2 years ago
Read 2 more answers
Can some one help plzz
fiasKO [112]
It is C. r=6

3 * 6 = 18 + 2 =20
3 0
3 years ago
Read 2 more answers
What is f(-1)? Show your work.<br><br> Question 4 options:
adelina 88 [10]
F(-1) = 3

How did I figure this out?

f(-1) is substituted for f(x) so you must look at -1 on the x axis.

Once you've located -1 on the x-axis, locate what it equals to answer the question.

The answer should be the y-axis number that corresponds to -1 which is 3.
3 0
3 years ago
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