Final answer:
The correct ratio that could be included in a table showing the number of students to the number of fans at a football game, where the existing ratios are 5:35, 15:105, 20:140, and 25:175, is D. 7:49 since it simplifies to 1:7, the consistent ratio found in the table.
Step-by-step explanation:
The student has asked to find the correct ratio of the number of students to the number of fans at a football game that could be included in a given table. The table outlines several existing ratios, and we're meant to compare these with the possible options (A, B, C, and D) to find a consistent pattern across the ratios. The current ratios in the table are:
- 5 students to 35 fans
- 15 students to 105 fans
- 20 students to 140 fans
- 25 students to 175 fans
We can see that each student-fan ratio simplifies to 1:7 (5/35=1/7, 15/105=1/7, 20/140=1/7, 25/175=1/7). So, to find the answer, we simplify the ratios given in options A to D and check which one simplifies to the 1:7 ratio.
- A. 2:32 simplifies to 1:16, not 1:7.
- B. 63:9 simplifies to 7:1, which is the inverse of 1:7, so not a match.
- C. 16:110 does not simplify to 1:7.
- D. 7:49 simplifies to 1:7, which matches the pattern in the table.
Therefore, the correct answer is D. 7:49.