An airplane has room for 300 coach- fair seats. it can replace any 3 coach seats with 2 first class seats. suppose the airplane is configured with x coach seats and y first class seats. (assume no space is wasted) a) if y=0, what is the value of x? explain the significance in terms of the airplane’s seat configuration. b)if x=0 ,what is the value of y? explain the significance in terms of the airplane’s seat configuration. c)it can be shown that y is a linear function of x. sketch a graph y versus x, labeling both axis-intercepts. d) find a formula for y in terms of x

Given

An airplane has room for 300 coach- fair seats.

It can replace any 3 coach seats with 2 first class seats.

To proof

let  coach seats = x

first class seats =y

As given in the question  airplane has room for 300 coach- fair seats

i.e their is no first class seat.

First point becomes (300,0 )

replace 3 coach seats with 2 first class seats   (Given in question )

second  point becomes (297,2 )

we get two points  (300,0 ) and (297,2 ) .

FORMULA

Equation of line with two point

put the points value in the above equation

sloving the above equation

we get the equation

Proof of (A)

Given : y=0

find the value of x

put this value in

we get

x = 300

Proof of (B)

Given : x =0

find out the value of y

put these value in the equation

y = 200

Proof of (C)

Show that y is a linear function of x.    

y is a linear function of x this is shown in the table and graph given below.

Proof of (D)

find a formula for y in terms of x

the equation

Hence proved

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high