Tony has 6 dollars in change in his car. every time he drives to visit his grandma, he pays $1.25 in tolls. which graph represents the change tony has in his car?

Let be the number of times Tony drives to visit his grandma, and let represent the amount of change Tony has in his car.

Since he pays $1.25 in tolls every time he visit his grandma, the amount of change in his car is going to decrease by $1.25 every visit. We know form our problem that he initially has 6 dollars in change in his car. Since represents the amount of change and the number of visits, we can relate all the variables and quantities using a linear equation:

To graph our linear equation, we just need to find two points and join them with a line.

The easiest points we can find are the and -intercepts.

- To find the we just need to replace with zero and solve for :

So, our first point is (0,6)

- To find the we just need to replace with zero and solve for :

Our second point is (4.8,0)

Now we can join those two points with a line.

we can conclude that the graph that represents the change Tony has in his car is the one in the picture:

The required function is . The graph of this function is shown below.

Step-by-step explanation:

It is given that Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls.

Let Tony visit his grandma be x.

The remaining change Tony has in his car is defined by the function

It is a decreasing function. The value of y can not be negative.

The graph is defined from x=0 to x=4.8.

Therefore the required function is . The graph of this function is shown below.

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step-by-step explanation: vsfdvsfvd