Question
Question 3 / 6
Four lemons cost $6. Which of the following ratios can be included to create a table of euquivalent ratios? Select all that apply.
(6.RP.3a, 6. RP. 3b)
Image reference
A.
1 : 2
B.
2 : 3
C.
3 : 5
D.
6 : 8
E.
10 : 15
Four lemons cost $6. Which of the following ratios can be included to create a table of euquivalent ratios? Select all that apply.
(6.RP.3a, 6. RP. 3b)
Image reference
A.
1 : 2
B.
2 : 3
C.
3 : 5
D.
6 : 8
E.
10 : 15
Answers
GPT-4o mini
To determine which ratios can be included to create a table of equivalent ratios for the cost of lemons, we first need to understand the cost and the number of lemons we have:
- 4 lemons cost $6.
This means the cost per lemon is $6 / 4 = $1.50 per lemon.
Now, we can express this relationship as a ratio of lemons to cost (lemons : cost):
- 4 lemons : $6
We can also express it in terms of a unit rate:
- 1 lemon : $1.50
Now, let's evaluate each option provided:
A. 1 : 2
- This ratio does not relate to our cost of lemons. It does not match the patterns established (1 lemon : $1.50).
B. 2 : 3
- Similar to option A, it does not fit into the equivalent ratio we are looking for.
C. 3 : 5
- This also does not relate to the cost of lemons.
D. 6 : 8
- To convert this ratio into a similar form, we can simplify it: 6:8 = 3:4, which does not relate to the cost of lemons either.
E. 10 : 15
- This ratio simplifies to 2 : 3 (since both 10 and 15 can be divided by 5), which still does not relate to the cost of lemons.
Thus, none of the options provided correspond to the ratio of lemons and their respective costs. Therefore, none of the given ratios (A, B, C, D, E) create a table of equivalent ratios for the given situation involving lemons and their cost.
In conclusion, there are no applicable options from the choices given that fit the ratio of lemons to their cost.
- 4 lemons cost $6.
This means the cost per lemon is $6 / 4 = $1.50 per lemon.
Now, we can express this relationship as a ratio of lemons to cost (lemons : cost):
- 4 lemons : $6
We can also express it in terms of a unit rate:
- 1 lemon : $1.50
Now, let's evaluate each option provided:
A. 1 : 2
- This ratio does not relate to our cost of lemons. It does not match the patterns established (1 lemon : $1.50).
B. 2 : 3
- Similar to option A, it does not fit into the equivalent ratio we are looking for.
C. 3 : 5
- This also does not relate to the cost of lemons.
D. 6 : 8
- To convert this ratio into a similar form, we can simplify it: 6:8 = 3:4, which does not relate to the cost of lemons either.
E. 10 : 15
- This ratio simplifies to 2 : 3 (since both 10 and 15 can be divided by 5), which still does not relate to the cost of lemons.
Thus, none of the options provided correspond to the ratio of lemons and their respective costs. Therefore, none of the given ratios (A, B, C, D, E) create a table of equivalent ratios for the given situation involving lemons and their cost.
In conclusion, there are no applicable options from the choices given that fit the ratio of lemons to their cost.