Question

francisco is ordering a taxi from an online taxi service. he has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels, as is represented in the linear graph below. what is the meaning of the y - value when x = 1?

Explanation:

In a linear relationship \(y = mx + b\) (where \(y\) is the total cost, \(x\) is the number of miles), when \(x = 1\), the \(y\)-value represents the total cost for a 1 - mile taxi ride. The flat charge is the \(y\)-intercept (\(b\)), and the per - mile charge is the slope (\(m\)). So, substituting \(x = 1\) into the cost equation \(y=mx + b\) gives the sum of the flat charge and the cost for 1 mile of travel.

Answer:

The \(y\)-value when \(x = 1\) represents the total cost of a 1 - mile taxi ride (including the flat charge and the charge for 1 mile of travel).