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Sonbull [250]
2 years ago
15

I WILL GIVE BRAINLIEST!!!

Mathematics
2 answers:
Nikitich [7]2 years ago
7 0

Let's see what to do buddy....

____________________________

Step (1)

Express taxi charges 2.50 $ per mile.

So if each mile equals x the taxi charges 2.50 x.

There's the starting fare too.

So ;

Express taxi charges by the following function :

f(x) = 2.5x + 10

____________________________

Step (2)

Speedy taxi charges 3 $ per mile.

So if each mile equals x the taxi charges 3x .

There's no starting fare.

So ;

Speedy taxi charges by the following function :

g(x) = 3x

____________________________

Step (3)

To find that after how many miles is the cost of both taxi services the same , we must equal their functions.

Then solve for x .

So we have :

f(x) = g(x)

2.5x + 10 = 3x

Subtract the sides of the equation minus 2.5x :

10 = 0.5x

10 =  \frac{1}{2}x \\

Multiply the sides of the equation by 2 :

x = 20

<em> So after 20 miles both taxi services have the same cost. </em>

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

MrMuchimi2 years ago
4 0

Answer:

Answer is after 20 miles

Step-by-step explanation:

10 +2.5x = 3x

10 = 3x-2.5x

10=0.5x

10/.5=x

x=20

At 20 miles they both have a cost of 60

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