Question

shawn has a budget of $50 per month to spend on bus fare. he made a table showing the total amount of bus money he will have left after the given number of rides.

number of rides	total amount of bus money left ($)
9	41
18	32
27	23

which equation, in standard form, represents the relationship between the number of bus rides, ( x ), and the amount of bus money shawn will have left, ( y )?

• ( 50y = x )
• ( 50x = y )
• ( 50x + 50y = 1 )
• ( x + y = 50 )

Explanation:

Step1: Find cost per ride

From the table: when $x=9$, $y=41$. The spent amount is $50-41=9$. Cost per ride: $\frac{9}{9}=1$ dollar per ride.

Step2: Relate x, y, and total budget

Total budget = spent money + left money. Spent money = $1 \cdot x = x$. So $50 = x + y$, rearranged to standard form: $x + y = 50$.

Step3: Verify with table values

For $x=18$: $18 + y = 50 \implies y=32$, matches the table. For $x=27$: $27 + y = 50 \implies y=23$, matches the table.

Answer:

$\boldsymbol{x + y = 50}$ (Option: $\boldsymbol{x + y = 50}$)