Question

slopes don’t have to be positive let’s find out what a negative slope means. warm - up which three go together: intersecting lines which three go together? why do they go together? 1 stand clear of the closing doors, please noah has $40 on his fare card. every time he rides public transportation, $2.50 is subtracted from the amount available on his card. 1 how much money, in dollars, is available on his card after he takes a. 0 rides? b. 1 ride? c. 2 rides? d. x rides?

Explanation:

Step1: Analyze initial amount

The initial amount on Noah's card is $40. When he takes 0 rides, no money is subtracted. So the amount available is the initial amount.
$40$

Step2: Calculate after 1 - ride

Each ride subtracts $2.50. After 1 ride, we subtract $2.50 from the initial $40.
$40 - 2.50=37.50$

Step3: Calculate after 2 - rides

After 2 rides, we subtract $2.50 twice from the initial $40.
$40-2.50\times2 = 40 - 5=35$

Step4: Calculate after x - rides

If he takes $x$ rides, and $2.50$ is subtracted per ride, the amount of money $y$ available on his card is given by the formula $y = 40-2.5x$.

Answer:

a. $40$
b. $37.50$
c. $35$
d. $40 - 2.5x$