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oksian1 [2.3K]
2 years ago
6

The cost of renting a car is $47 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=

47+0.25x , where x is the number of miles traveled.
Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Answer:

a. 61.25

b. 70

c. 212

Step-by-step explanation:

a. What is your cost if you travel 57 miles?

The cost is $ .

y=47+0.25x

y=47+0.25(57)

y=47+14.25

answer: 61.25

b. If your cost was $64.50, how many miles were you charged for traveling?

You were charged for traveling miles.

64.50-47=0.25x

17.50=1/4x

17.50*4

answer 70=x

c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

The maximum number of miles you could travel is miles.

100-47

53=1/4x

answer : x= 212

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Answer:  1) \pm \sqrt{x+4}

               2) see graph

               3) Choose one color from the graph

               4) D: x ≥ -4

                   R: y ≥ 0 for \sqrt{x+4}     or      y ≤ 0   for -\sqrt{x+4}

<u>Step-by-step explanation:</u>

1) To find the inverse, swap the x's and y's and solve for y:

Given: y = x² - 4

Swap: x = y² - 4

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2) see attachment. Red and Blue combined creates the graph of the inverse.

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blue graph: y= -\sqrt{x+4}

4) Domain reflects the x-values of the function.  The x-values for the red graph is the same as the blue graph so the answer will be the same regardless of which equation you choose.

Domain: x ≥ 0

Range reflects the y-values of the function.  The y-values differ between the positive and negative inverse functions. <em>Positive is above the x-axis. Negative is below the x-axis.</em>

Range (red graph): y ≥ 0 for  y= \sqrt{x+4}

Range (blue graph):  y ≤ 0 for y= -\sqrt{x+4}

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