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3 years ago

If f(x)=3/4X+5/6WHAT IS F(12)-------------

Mathematics

1 answer:

Andreyy893 years ago

8 0

F(X) means the function of X. So we just plug in 12 for X.
(3/4(12))+5/6=36/4+5/6=9+5/6=59/6

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GaryK [48]

<h3>Answer:</h3>

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3 years ago

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lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

Then the rate per mile, or the slope, will be:

a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

Then the equation will be written as:

c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n by 1, and c by $5.25

Then:

$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

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c = $2.25*n + $3.

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Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

Then the rate per mile will be:

a = ($10.50 - $7.00)/(3 - 1) = $1.75

The rate per mile is $1.75 (is cheaper than in the previous case)

Then at the moment, the equation is:

c = $1.75*n + b

To find the initial cost, we do the same as before, here i will use the point (1, $7.00)

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And the equation will be:

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We only need to replace n by 15 in both equations, and see in which one the cost is lower:

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Carlton's Cabs:

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Then Carlton's Cabs is a better option if you want to travel 15 miles.

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Alexeev081 [22]

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