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Furkat [3]
2 years ago
9

Which of the following represents an inverse variation function? A) y = 13x B) y = 3x2 C) y = x3 + 1 D) y = 3x2

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

Answer:

ndidiisjjsjzjjhzjxjxjjsjxd djejdjdhk djrb e

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Taxicab Ride
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

$3 = b

Then the initial cost here is $3.

And the equation will be:

c = $2.25*n + $3.

Carlton's Cabs:

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)

$7.00 = $1.75*1 + b

$7.00 - $1.75 = b

$5.25 = b

The initial cost here is $5.25

And the equation will be:

c = $1.75*n + $5.25

Now, which one is cheaper for 15 miles?

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

Treveon's Taxis:

c(15) = $2.25*15 + $3 = $36.75

Carlton's Cabs:

c(15) = $1.75*15 + $5.25 = $31.5

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

6 0
3 years ago
Y = -2x + 8<br> y = x^2 - 9x + 18<br><br> solve the system of nonlinear equation
ryzh [129]

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

<h2><u><em>x=5,</em></u></h2><h2><u><em>y=-2</em></u></h2>

Now we solve for our second x

If x=2,

y=-4+8=

4

Therefore, we derive our second solution:

<h2><u><em>x=2</em></u></h2><h2><u><em>y=4</em></u></h2>

<u><em></em></u>

-Hunter

3 0
2 years ago
Increase 53.20 by 7%
____ [38]

Answer:

56.924

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Provide the Domain and range.
Alik [6]

Answer:

domain is like the membrane

Step-by-step explanation:

domain

8 0
3 years ago
A student has scores of 64, 62, and 72 on his first three tests. He needs an average of at least 70
kotegsom [21]

Answer:

73 or more

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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