Use the table to answer the question.
bottle 2 6 10 12
case 10 30 50 60
Simplify each ratio in the table to prove that all the ratios are equivalent.
(2 points)
2/10=
, 6/30=
, 10/50=
, 12/60=
2/10 = 1/5
6/30 = 1/5
10/50 = 1/5
12/60 = 1/5
Therefore, all the ratios in the table are equivalent and equal to 1/5.
can you give me simple instructions on how to solve this
Sure! To simplify each ratio in the table, you need to divide both the numerator and the denominator of each ratio by their greatest common factor (GCF).
1. Take the first ratio, 2/10. Find the GCF of 2 and 10, which is 2. Divide both the numerator and denominator by 2 to simplify the ratio. 2 divided by 2 is 1, and 10 divided by 2 is 5. So, 2/10 simplifies to 1/5.
2. Take the second ratio, 6/30. Find the GCF of 6 and 30, which is 6. Divide both the numerator and denominator by 6 to simplify the ratio. 6 divided by 6 is 1, and 30 divided by 6 is 5. So, 6/30 simplifies to 1/5.
3. Repeat the same steps for the remaining ratios. For 10/50, the GCF is 10. Divide 10/50 by 10 to get 1/5. Finally, for 12/60, the GCF is 12. Divide 12/60 by 12 to get 1/5.
By simplifying each ratio, you can see that all the ratios are equivalent and equal to 1/5.
Use the table to answer the question.
Time (m) Number of Free Throws
3 4
Larry can shoot 4 free throws in 3 minutes. Complete the ratio table to determine how many free throws he can make in 15 minutes.
(2 points)
Time (m) Number of Free Throws
3 4
To determine how many free throws Larry can make in 15 minutes, we need to find the equivalent ratio by multiplying the number of free throws in 3 minutes by a constant. First, let's find the constant by dividing 15 minutes by 3 minutes:
15 minutes / 3 minutes = 5
Now, we can multiply the number of free throws in 3 minutes by 5 to find the number of free throws Larry can make in 15 minutes:
4 free throws x 5 = 20
Therefore, Larry can make 20 free throws in 15 minutes.
complete the ratio table
Would you like us to continue filling out the table starting from the given information?
yes
Sure! Here is the completed ratio table based on the given information:
Time (m) Number of Free Throws
3 4
6 8
9 12
12 16
15 20
Each row represents a multiple of 3 minutes, and the corresponding number of free throws is found by multiplying the number of free throws in 3 minutes (which is 4) by the multiple.