X y

A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5

olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

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7 0

2 years ago

Solve.

Sphinxa [80]

21/22 is the answer change division sign to multiplication and flip the fraction on the right then multiply and divide those answers

8 0

3 years ago

Factor and\or expand the following expression : 3(2x + w)

lutik1710 [3]

Answer:

6x +3w

Step-by-step explanation:

3(2x + w)

Distribute

3*2x +3*w

6x +3w

7 0

3 years ago

Read 2 more answers

Emanuel drove home from college traveling an average speed of 70 mph and drove back to the college the following week at an aver

xz_007 [3.2K]

Answer:

Step-by-step explanation:

Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took

Emanuel to drive from home back to college would be (11 - t) hours.

Emanuel drove home from college traveling an average speed of 70 mph.

Distance = speed × time

Distance covered by driving from college to home is

70 × t = 70t

He drove back to the college the following week at an average speed of 62.7 mph.

Distance covered by driving back to college from home is

62.7(11 - t) = 689.7 - 62.7t

Since the distance travelled is the same, then

689.7 - 62.7t = 70t

70t + 62.7 = 689.7

132.7t = 689.7

t = 689.7/132.7

t = 5.19 hours.

Therefore, the time that it took Emanuel to drive from home back to college is

11 - 5.19 = 5.81 hours

3 0

3 years ago

Read 2 more answers

Find the value of this expression if x= 9. x square + 6 over x-6.

torisob [31]

Hold on, does the equation look like this? (x^2+6)/x-6? Because if so then you'd substitute nine for x first. Then you'd multiply nine by itself getting eighty-one, after that add six to get eighty-seven. substitute nine for x one more and subtract six. take eighty-seven divided by three to get an answer of twenty-nine. But if the equation is saying the square of nine aside from nine squared then you'd have an entirely different problem. That one would look similar to *square symbol*(9)+6/9-6
, You'd solve this by finding the square of nine which is three then you'd add six and get a numerator of nine. Then you go about the bottom the same as you would have in the first equation, subtract six from nine giving you a denominator of three so you now have nine over three which simplified is three.

The two answers are 29 or 3 depending on the equation.

6 0

3 years ago