A taxi driver records the time required to complete various trips and the distance for each trip. The best fit line is given by the equation $$, where $$ represents the distance in miles, and $$ represents the time for the trip in minutes. Use the best fit line to estimate the distance for a trip that takes 20 minutes.

Complete question :

A taxi driver records the time required to complete various trips and the distance for each trip. The best fit line is given by the equation y = 0.467 x + 0.417 where y represents the distance in miles, and x represents the time for the trip in minutes. Use the best fit line to estimate the distance for a trip that takes 20 minutes.

9.757 miles

Step-by-step explanation:

Given the model Equation:

y = 0.467x + 0.417

y = predicted distance in miles

x = trip time in minutes

The distance for a trip that takes 20 minutes

Substitute 20 for X in the best fit equation

y = 0.467(20) + 0.417

y = 9.34 + 0.417

y = 9.757

Hence, distance in miles for a 20 minutes trip is 9.757 miles

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.