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castortr0y [4]
3 years ago
10

A 2-mi cab ride costs $4.25. A 7-mi cab ride costs $8.50. Which equation models the cost y of a cab ride that is x miles?

Mathematics
2 answers:
Igoryamba3 years ago
4 0
I believe that it would be C
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

The answer is the option C

y=0.85x+2.55

Step-by-step explanation:

Let

x-------> the number of miles

y------> the cost

The formula to calculate the slope between two points is equal to


m=\frac{y2-y1}{x2-x1}


we have


A(2,4.25), B(7,8.50)

Substitute the values


m=\frac{8.5-4.25}{7-2}


m=\frac{4.25}{5}=0.85\frac{\$}{mi}


Find the equation of the line

The equation of the line into slope-intercept form is equal to

y=mx+b

we have

m=0.85\frac{\$}{mi}


A(2,4.25)

substitute and solve for b

4.25=0.85(2)+b

b=4.25-1.70=2.55

The equation of the line is equal to

y=0.85x+2.55

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On each 3 days derrik rode 6.45 km to school, 150 meters to the library, and then 500 meters back home. How many kilometers did
Andrew [12]

Just add all 3 numbers up together:

6.45+ 0.15+0.5

=7.1

Since it was three days multiply the 7.1 by three

=7.1x3

=24 

So for three days derrick rode for 24 km 

Hoped I helped :)

7 0
3 years ago
An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter
leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

-

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0
4 years ago
Find the perimeter of the shaded region below.
Dmitriy789 [7]

9514 1404 393

Answer:

  24x

Step-by-step explanation:

The total length of all vertical segments is 5x·2 = 10x.

The total length of all horizontal segments is (3x+4x)·2 = 14x.

Then the total length of all perimeter segments is ...

  10x +14x = 24x . . . . perimeter of the figure

5 0
3 years ago
I'm stuck and I need some bodies help. Show your work plz
frez [133]
Max because 360/24 is 15 and Holly doesn't say how they would put the oranges in each bag. The bags have to have an equal amount of oranges for each bag to be worth $1.50.
8 0
4 years ago
I<br> What is the sale price of a stereo that normally sells for $250.00 and is on sale for 10% off?
Aleksandr [31]

Answer:

$225.00

Step-by-step explanation

First, take the percentage and switch it to a decimal. 10%= 0.10

Next, take $250.00 and multiply that by 0.10. 250x0.10=25

Lastly, subtract 25 from 250. 250-25= 225.

So you’re final answer is $225.00 Hope this helped!

4 0
4 years ago
Read 2 more answers
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