Sal’s and Carrie’s Ages
Sal
3
5
8
13
15
Carrie
7
9
12
17
19
(1 point)
Responses
s = c + 4
s = c + 4
s = 4c
s = 4 c
c = s + 4
c = s + 4
c = 4s
c = 4s
To determine the relationship between Sal's (s) and Carrie's (c) ages, let's analyze the given ages step-by-step.
From the given ages:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
We can identify the following relationships between their ages:
1. s = c + 4 (First relationship)
2. s = 4c (Second relationship)
3. c = s + 4 (Third relationship)
4. c = 4s (Fourth relationship)
Now let's match each relationship to the given age pairs:
1. s = c + 4:
- Sal: 5, Carrie: 1 (3 + 4)
- Sal: 8, Carrie: 4 (5 + 4)
- Sal: 13, Carrie: 9 (8 + 4)
- Sal: 17, Carrie: 13 (13 + 4)
As we can see, this relationship holds true for the given ages.
2. s = 4c:
- Sal: 5, Carrie: 1.25 (5/4)
- Sal: 8, Carrie: 2 (8/4)
- Sal: 13, Carrie: 3.25 (13/4)
- Sal: 17, Carrie: 4.25 (17/4)
- Sal: 21, Carrie: 5.25 (21/4)
This relationship does not hold true for the given ages.
3. c = s + 4:
- Sal: 5, Carrie: 1 (5 - 4)
- Sal: 8, Carrie: 4 (8 - 4)
- Sal: 13, Carrie: 9 (13 - 4)
- Sal: 17, Carrie: 13 (17 - 4)
This relationship also holds true for the given ages.
4. c = 4s:
- Sal: 5, Carrie: 20 (4 * 5)
- Sal: 8, Carrie: 32 (4 * 8)
- Sal: 13, Carrie: 52 (4 * 13)
- Sal: 17, Carrie: 68 (4 * 17)
- Sal: 21, Carrie: 84 (4 * 21)
This relationship does not hold true for the given ages.
Based on the analysis, the correct relationship between Sal's and Carrie's ages is:
s = c + 4 (First relationship)