The cost of riding in a cab is $3.00 plus $0.75 per mile. the equation that represents this relation is y = 0.75x +3, where x is the number of miles traveled and y is the cost of the trip. look at the graph of the equation and determine whether the relation is a function.

Yes, the relation is a function.

Step-by-step explanation:

Given:

The equation that represents the cost of riding a cab is given as:

Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.

The above equation represents a line as it is of the form which represents a line with constant slope.

Now, in order to plot this equation, we need at least two points.

Now, let , then

. So, (0, 3) is a point on the line.

Let , then

. So, (1, 3.75) is a point on the line.

Plot these two points on a graph and draw a line passing through these two points.

Now, for a relation to be a function, it should pass the vertical line test.

According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.

Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.

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step-by-step explanation: