Graph the line that represents a proportional relationship between d and t with the property that and increase of 0.2 units in t corresponds to an increase of 1.8 units in d. what is the unit rate of change is d with respect to t? (this is, a change of 1 unit in t will correspond to a change of how many units in d? ) the unit rate of change is

The unit rate of change is 9 units.

Step-by-step explanation:

We have to draw a line which represents a proportional relationship between d and t. In the graph t is represented on x-axis represents and d is represent on y-axis.

It is given that increase of 0.2 units in t corresponds to an increase of 1.8 units in d.

The unit rate of change is also known as slope.

For the given case,

Therefore the unit rate of change is 9 units.

There is a proportional relationship between d and t, therefore the line must be passing through (0,0).

The point slope form of a line

Where m is the slope.

Therefore the equation of line is .

the answer to the question is a  

it has the same slope and the same y-intercept.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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