Question

this graph shows how the number of pies gina can bake is related to the number of additional cups of sugar she buys.
with 2 additional cups of sugar, how many total pies can gina bake?
6 pies 4 pies
7 pies 9 pies

Explanation:

Step1: Identify the x - value

We are looking for the number of pies when the additional cups of sugar (x - value) is 2.

Step2: Find the corresponding y - value

On the graph, the x - axis represents "Additional cups of sugar" and the y - axis represents "Number of pies". We locate x = 2 on the x - axis, then find the point on the line corresponding to x = 2. The y - value (number of pies) at x = 2 is 7? Wait, no, wait. Wait, the y - intercept is 4 (when x = 0, y = 4). Let's check the slope. From x = 0 (y = 4) to x = 4 (y = 10), the slope is $\frac{10 - 4}{4 - 0}=\frac{6}{4}=\frac{3}{2}$. So the equation of the line is $y=\frac{3}{2}x + 4$. When x = 2, $y=\frac{3}{2}\times2+4=3 + 4=7$. Wait, but looking at the graph, when x = 2, the point on the line: let's check the grid. At x = 0, y = 4. At x = 1, y = 5.5? No, wait the graph: when x = 0, y = 4; x = 1, y = 5.5? No, the first point is (0,4), then (4,10). Wait, the user's graph: the y - axis at x = 0 is 4, at x = 2, let's see the line. Wait, maybe I misread. Wait the graph: the line goes from (0,4) to (4,10). So the slope is (10 - 4)/(4 - 0)=6/4 = 3/2. So when x = 2, y=4+(3/2)*2=4 + 3=7. So the number of pies is 7. Wait but the options are 6,4,7,9. So 7 is an option.

Wait, maybe I made a mistake. Let's look at the graph again. The x - axis is additional cups of sugar (0 to 10), y - axis is number of pies (0 to 10). The line starts at (0,4) and goes up to (4,10). So at x = 2, the y - value: from (0,4) to (4,10), each x - unit (cup of sugar) increases y by (10 - 4)/4 = 1.5. So at x = 2, 4+2*1.5=4 + 3=7. So the answer is 7.

Answer:

7 pies (the option with "7 pies")