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03:16
Question
At Darren’s Cafe, every 10 lattes earns a free drink. Based on this information, which table best shows this relationship between the amount of free drinks earned, y, and the number of lattes purchased, x?
Responses
A
Lattes
Lattes Purchased, x Number of Free Drinks, y
30 3
40 4
50 5
60 6 Lattes Lattes Purchased, x Number of Free Drinks, y 30 3 40 4 50 5 60 6
B
Lattes
Lattes Purchased, x Number of Free Drinks, y
30 1
40 2
50 3
60 4 Lattes Lattes Purchased, x Number of Free Drinks, y 30 1 40 2 50 3 60 4
C
Lattes
Lattes Purchased, x Number of Free Drinks, y
30 300
40 400
50 500
60 600 Lattes Lattes Purchased, x Number of Free Drinks, y 30 300 40 400 50 500 60 600
D
Lattes
Lattes Purchased, x Number of Free Drinks, y
30 1
40 2
50 3
60 4
To determine the correct table, we need to evaluate how the number of free drinks earned, y, relates to the number of lattes purchased, x, based on the given rule that every 10 lattes earn a free drink at Darren's Cafe.
The formula to calculate the number of free drinks (y) based on the number of lattes purchased (x) would be:
y = x / 10
Using this formula, let's evaluate each of the options provided:
A. For every 30 lattes purchased, 30/10 = 3 free drinks are earned (and similarly for 40, 50, and 60 lattes).
B. This table suggests that for every 30 lattes purchased, only 1 free drink is earned, which is incorrect based on the given formula.
C. This table suggests that for every 30 lattes purchased, 300 free drinks are earned, which is clearly incorrect.
D. Similar to table B, this table also suggests for every 30 lattes purchased, only 1 free drink is earned, which is incorrect.
Based on the calculations, the correct table is:
A
Lattes Purchased, x | Number of Free Drinks, y
------------------ | -------------------------
30 | 3
40 | 4
50 | 5
60 | 6
This table correctly reflects the relationship that for every 10 lattes purchased, 1 free drink is earned, as indicated by the rule at Darren's Cafe.