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vazorg [7]
3 years ago
5

George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-

refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

Company A has a greater daily rate

Step-by-step explanation:

Given

Company A

Base\ Charges=\$50

Daily\ Rate = \$150

Company B

f(x) = 50(2x +1)

Required

Determine the company with greater rate

Simplify the expression of company B

f(x) = 50(2x +1)

f(x) = 50 * 2x + 50 * 1

f(x) = 100x + 50

In a linear function:

f(x) = mx + b

m represents the rates.

This implies that the rate of company B is:

Rate =100

and the rate of company A is

Daily\ Rate = \$150

By comparison:

Company A has a greater daily rate

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Help with math please.
lys-0071 [83]
Hello,

The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.

Now let's find the y-intercept by using the formula of point-slope form, 
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first 
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points. 

Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.

In conclusion, the rate of change is -3 and the y-intercept is 18. 

I hope this helps!

May
3 0
3 years ago
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Ann [662]

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

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3 years ago
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Answer:

I think it is 2 hrs... if there are not any extra variables.

Step-by-step explanation:


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