1. ratio a is equivalent to ratio b. ratio b is equivalent to ratio c. is ratio a equivalent to ratio c?
2. you are 13 years old, and your cousin is 19 years old. as you grow older, is your age proportional to your cousin's age?
What are your answers?
i think 1 is yes and 2 is no, i just need someone to walk me through it.
Both of your answers are right.
1. To determine if ratio a is equivalent to ratio c, we need to check if ratio a is equivalent to ratio b and if ratio b is equivalent to ratio c.
If ratio a is equivalent to ratio b, it means that the values in both ratios can be multiplied by the same non-zero constant to obtain equal values. Similarly, if ratio b is equivalent to ratio c, the values in both ratios can be multiplied by the same non-zero constant to obtain equal values.
So, to see if ratio a is equivalent to ratio c, we need to check if the values in ratio a can be multiplied by the same non-zero constant as the values in ratio b, and if the values in ratio b can be multiplied by the same non-zero constant as the values in ratio c. If both conditions are true, then ratio a is indeed equivalent to ratio c.
2. Proportional relationships indicate that two variables change in the same ratio or proportion. In this case, if your age is proportional to your cousin's age, it means that as you both grow older, your ages will increase by the same ratio or proportion.
To determine if your age is proportional to your cousin's age, we can calculate the ratio of your ages at different points in time. If the ratio remains constant as you both grow older, then your ages are proportional.
For example, if your cousin's age is 19 when you are 13, the initial ratio is 13:19. Now, let's say after 4 years, your age is 17 and your cousin's age is 23. The new ratio would be 17:23.
To check if the ratios are proportional, we can simplify them. In this case, both ratios simplify to 13/19 and 17/23, respectively. If these simplified ratios are equal, then your ages are proportional.