Question

julieta is ordering a taxi from an online taxi service. she has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. she wrote an equation to represent her total cost, $y = 2.8x + 2.5$, where $y$ represents the total cost in dollars and cents, and $x$ represents the number of miles she travels. what is the meaning of the $y$-value when $x = 1$? answer attempt 1 out of 2 the initial charge for using the taxi. the total charge for 1 mile. how much the taxi costs per mile. how far julieta can ride for $1.

Explanation:

Step1: Analyze the linear equation

The equation is \(y = 2.8x+2.5\), which is in the slope - intercept form \(y = mx + b\) (\(m\) is the slope and \(b\) is the \(y\) - intercept). When \(x = 1\), we substitute \(x = 1\) into the equation.

Step2: Substitute \(x = 1\) into the equation

Substitute \(x = 1\) into \(y=2.8x + 2.5\), we get \(y=2.8\times1+2.5=2.8 + 2.5=5.3\). Here, \(x\) represents the number of miles. So when \(x = 1\) (1 mile traveled), \(y\) (the total cost) is calculated.

Answer:

The total charge for 1 mile.