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Allisa [31]
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
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

Option D is correct

$2.50 per mile

Step-by-step explanation:

Slope intercept form:

The equation of line is given by:

y = mx+b                      .....[1]

where,

m is the slope of the line.

b is the y-intercept

As per the statement:

The function y = 3.75 + 2.50(x - 3)

where, y can be used to determine the cost in dollars for a uber ride of x miles.

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

we have;

y = 3.75+2.50x-7.50

⇒y = 2.50x-3.75

On comparing with [1];

m = 2.50

⇒rate of change of the cost in dollars with respect to the number of miles = $2.50 per mile

therefore, $2.50 is the rate of change of the cost in dollars with respect to the number of miles

stepan [7]3 years ago
4 0
<span>The cost of each mile is $2.50.

If you simplify the expression given you will get the following.
y = 3.75 + 2.50(x - 3)
y = 3.75 + 2.50x - 7.50
y = 2.50x - 3.75.

Knowing that x is the number of miles and 2.50 is the number being multiplied by, we know that the cost per mile is 2.50. </span>
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iVinArrow [24]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Please help
lubasha [3.4K]

Let us check series : -10 /-2 = 5 -50/-10 = 5

so it is a geometric series with a= -2 and r= 5

sum formula for n terms of geometric series = a ( r^n -1 ) /( r-1)

here we find S5 that is n= 5 = -2 ( 5^ 5 - 1) /( 5-1)

= -2 ( 3125 -1) / 4 = -1562

second series is : 1.5/1 = 1.5 2.25/1.5 = 1.5

this is also geometric series but n = 12 a= 1 and r= 1.5

we use same formula

S12 = 1 ( (1.5) ^12 -1) /( 1.5-1) =

128.74 / 0.5 = 257.49

Last is 2/1= 2 4/2 = 2 8/4 = 2 so r = 2 a = 1 and n = 12

we use same formula 1 ( 2^12 - 1) / (2-1)

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Answers : -1562 , 257.49 , 4095

8 0
3 years ago
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Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn
elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

<em>A = 9,000.00(1 +  x/100)^(4)</em>

Given data

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Rate = x% per annum

<h3>Solution</h3>
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First, convert R as a percent to r as a decimal

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r = x/100

  • Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

A = 9,000.00(1 +  x/100)^(4)

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The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

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brainly.com/question/24924853

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3 years ago
When (x+2)^6 is written as a polynomial, what is the coefficient of the term containing x^4
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