At her juice parlor, Mrs. Jones makes a different amount of fruit punch each day by mixing grape juice and peach juice. The table shows the amount of grape juice, g, and the amount of peach juice, p, Mrs. Jones uses to make different quantities of the punch.
amount of grape juice, g (in liters) -------------
11.5
17.5
20.5
26.5
34.5
Amount of peach juice, p, in liters
6.9
10.5
12.3
15.9
20.7
choices,
A. p=g+0.6
B. g=3/5p
C. p=3/5p
D. g=p+0.6
The correct answer is D. g=p+0.6.
Looking at the values in the table, it can be observed that the amount of grape juice is always 0.6 liters more than the amount of peach juice. This can be represented by the equation g=p+0.6.
A deli charges the same price, $5.50, for all of its different sandwiches. If a company ordered n sandwiches for a luncheon, which equation could be used to find the total price, P, that the deli charged for the sandwiches?
The equation that could be used to find the total price, P, that the deli charged for the sandwiches is P = $5.50 * n.
To determine which choice is correct, let's analyze the given data.
Looking at the table, we can observe that as the amount of grape juice, g, increases, the amount of peach juice, p, also increases. This suggests that there is a direct relationship between the two variables.
Now let's examine the options:
A. p = g + 0.6
B. g = (3/5) p
C. p = (3/5) p
D. g = p + 0.6
Option A implies that the amount of peach juice, p, is equal to the amount of grape juice, g, plus 0.6. However, this contradicts the data provided in the table, where for each value of g, there is a different value for p.
Option B implies that the amount of grape juice, g, is equal to three-fifths of the amount of peach juice, p. This option is inconsistent with the data because for each value of g, there is no consistent ratio of g to p.
Option C states that the amount of peach juice, p, is equal to three-fifths of the amount of peach juice, p. This is a tautology, meaning it is not informative or explanatory.
Option D suggests that the amount of grape juice, g, is equal to the amount of peach juice, p, plus 0.6. This option seems plausible because it allows for a varying amount of grape juice, g, for different values of p.
Therefore, the correct choice is D.