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Vilka [71]
3 years ago
7

The function y = 3.75 + 2.50(x - 3) can be used to determine the cost in dollars for a uber ride of x miles. What is the rate of

change of the cost in dollars with respect to the number of miles? PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER.
Multiple choices:
A. $3.75 per mile
B. $6.25 per mile
C. $4.75 per mile
D. $2.50 per mile
Mathematics
1 answer:
dusya [7]3 years ago
8 0
The correct Answer is option D) $2.50

Let me explain how:

Differentiate y with respect to x
dy/dx= d/dx(<span>3.75 + 2.50(x - 3))
</span>
<span /><span /><span>dy/dx= 0+2.5(1) - 0=2.5
</span>
<span /><span /><span>Hence, from the above calculations it is proven that the rate of change of the cost in dollars
</span><span>
</span><span>=dy/dx
</span><span>
</span><span>=2.5</span>
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Answer:

i think it is length hopefully that's correct

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Compute delta y/delta x for the interval [2,5], where y = 4x - 9.
Kamila [148]
We have to compute: Δ y / Δ x.
The interval is [ 2, 5 ] and y = 4 x - 9.
y 1 = 4 · 2 - 9 = 8 - 9 = - 1
y 2 = 4 · 5 - 9 = 20 - 9 = 11
Δ y / Δ x = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= ( 11 - ( - 1 ) ) / ( 5 - 2 ) = ( 11 + 1 ) / 3 = 12 / 3 = 4
Answer:
Δ y / Δ x = 4

3 0
4 years ago
Seven less than the quotient of a number, x, and twelve is five times the number. Which answer represents this situation??
erica [24]

Answer:

Option b is correct.

Step-by-step explanation:

From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.

Here, the number is x

The quotient of a number x and twelve is expressed as ,  \frac{x}{12}

Seven less than the quotient of a number, x, and twelve is expressed as,  \frac{x}{12}-7

Five times the number mean, 5x

Therefore, we have an equation in the form of <em>x</em>  from the given condition as:

\frac{x}{12}-7=5x .







8 0
3 years ago
Read 2 more answers
Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8
olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0
3 years ago
Please please please help me with this assignment :)
Shtirlitz [24]

Answer:

$45.63

Step-by-step explanation:

50,145 cm^{3}  *  2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63

6 0
3 years ago
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