Question

jeriel 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 point (1,6.5)?

Explanation:

Step1: Understand the coordinate meaning

In a coordinate \((x,y)\), \(x\) represents the independent variable (distance traveled in miles here) and \(y\) represents the dependent variable (total cost). For the point \((1,6.5)\), \(x = 1\) (1 mile) and \(y=6.5\) (total cost of \(\$6.5\)).

Step2: Analyze each option

• Option "A total charge of \(\$6.50\) for a 1 - mile ride": When \(x = 1\) (1 mile), \(y = 6.5\) (total cost). This matches the meaning of the point \((1,6.5)\) as it shows the total cost for a 1 - mile journey.
• Option "The flat charge to order the taxi": The flat - charge would be the \(y\) - intercept (the cost when \(x = 0\)). Since \(x=1\) in the point \((1,6.5)\), this is not the flat - charge.
• Option "How much the taxi costs per mile": The cost per mile is the slope of the line (rate of change of \(y\) with respect to \(x\)). A single point \((1,6.5)\) does not directly give the slope (we need at least two points to calculate the slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\)).
• Option "How far Jeriel can ride for \(\$1\)": This would involve finding \(x\) when \(y = 1\). The point \((1,6.5)\) has \(y=6.5\) when \(x = 1\), so it's not relevant to this option.

Answer:

A total charge of \(\$6.50\) for a 1 - mile ride.