Question

which situation best describes the relationship between all the values of x and y in the table?
a rachel had six dollars and then started to save one dollar each week.
b beatriz ran one mile the first week and one mile each week after that.
c james read zero books in six months and then started to read one book each week.
d marion has six times the number of toy trains that tony has.
a
b
c
d

Explanation:

First, analyze the table (from the given x and y values: when x=0, y=6; x=1, y=7; x=2, y=8; x=3, y=9). The relationship is \( y = x + 6 \), meaning the initial value (when x=0) is 6, and y increases by 1 as x increases by 1.

• Option A: Rachel has $6 initially (x=0, y=6) and saves $1 per week (so y increases by 1 as x (weeks) increases by 1). This matches \( y = x + 6 \).
• Option B: Beatriz ran 1 mile first week (x=1, y=1), but our table starts at y=6 when x=0, so no.
• Option C: James read 0 books in 6 months (x=0, y=0), but our y=6 when x=0, so no.
• Option D: Marion has 6 times Tony's trains (y=6x), but when x=1, y would be 6, but our table has y=7 when x=1, so no.

Answer:

A. Rachel had six dollars and then started to save one dollar each week.