Question

for the reveal you need to pick 1. the distance from Nathan's house to city A, in miles2. The number of gallons of gas used per hour of driving3. The total cost to drive from Nathan's house to city A, in dollars4. The average speed that Nathan travels, in miles per hour5. The total time of the trip in hours

Answer 1

In order to determine which is the equation for D, use the following slope-intercept form of a line:

D = mt + b

where m is the slope of the line and b the y intercept.

Use the following formula to find the slope m:

`m=\frac{D_2-D_1_{}}{t_2-t_1}`

where (t1,D1) and (t2,D2) are any pair of points on the line.

For instance, based on the graph, you have:

(t1,D1) = (0,100)

(t2,D2) = (1,75)

Replace the previous values of the parameters into the formula for m:

`m=(75-100)/(1-20)=(-25)/(1)=-25`

Now, consider tht the y-intercept is the value of y when x = 0.In this case, the

y-intercept is 100. b = 100

Replace the value of m and b into the slope-intercept equation:

D = -25t + 100

The slope of the line is -25

The interpretation is:

The term -25t means that for each hour the distance to Nathan's house is 25 miles less. Term 100 means that it is the initial distance to Nathan's house.