Question

1. a dog eats 1.25 cups of dog food twice a day. which graph best represents this relationship? a. graph a: x-axis number of days, y-axis number of cups, line from (0,0) to (5,5+) b. graph b: x-axis number of days, y-axis number of cups, line from (0,0) to (5,2+) c. graph c: x-axis number of days, y-axis number of cups, line from (0,0) to (2,5+) d. graph d: x-axis number of days, y-axis number of cups, line from (0,0) to (5,5+)

Explanation:

Step1: Calculate daily food intake

The dog eats 1.25 cups twice a day, so daily intake is \(1.25\times2 = 2.5\) cups.

Step2: Find total for 5 days

For \(x\) days, total food \(y = 2.5x\). At \(x = 5\), \(y = 2.5\times5 = 12.5\)? Wait, no, wait—wait, the graphs have y-axis up to 5? Wait, no, the y-axis is "Number of Cups", x is days. Wait, maybe I miscalculated. Wait, 1.25 cups twice a day: \(1.25\times2 = 2.5\) cups per day. So for 1 day, 2.5 cups; 2 days, 5 cups? Wait, no, the graphs' y-axis: let's check the graphs. Graph A: at x=5, y is 5? Wait, no, maybe the y-axis is per day? No, the problem says "Dog Food Eaten" (total). Wait, maybe I messed up. Wait, 1.25 cups twice a day: so per day, 2.5 cups. So the equation is \(y = 2.5x\), where \(x\) is days, \(y\) is total cups. Let's check the graphs:

• Graph A: when x=1, y=1? No, slope is (5-0)/(5-0)=1. So y=x. Not 2.5x.
• Graph B: slope (2-0)/(5-0)=0.4. Not 2.5.
• Graph C: when x=2, y=5? Slope (5-0)/(2-0)=2.5. Yes! Wait, x=2, y=5: 5=2.5×2. Correct.
• Graph D: slope (5-0)/(5-0)=1. No.

Wait, maybe the y-axis is total cups. So for 2 days, total is 2.5×2=5 cups. So graph C has at x=2, y=5. So that's correct.

Answer:

C. Dog Food Eaten graph (with x as Number of Days, y as Number of Cups, passing through (2,5))