Assuming you meant 2/3
y=2/3x+1 and (-5,-2)

paralell means same slope
y=mx+b
m=slope

y=2/3x+1
sllope=2/3

point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)

slope=2/3
point=(-5,-2)

y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3

7 0

3 years ago

What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .

gavmur [86]

Answer:

$f^{-1}(x) =\frac{x}{3} - 5$

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

$Admission = 15$

$Ride = 3$ per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

$f(x) = Admission + Ride * x$

$f(x) = 15 + 3 * x$

$f(x) = 15 + 3x$

For the inverse function, we have:

$y = 15 + 3x$

Swap x and y

$x = 15 + 3y$

Make 3y the subject

$3y = x - 15$

Make y the subject

$y =\frac{x}{3} - 5$

Replace y with the inverse function

$f^{-1}(x) =\frac{x}{3} - 5$

The above is to calculate the number of rides; given the amount paid

5 0

3 years ago