Respuesta :
To find the values of x, y, and z in the given scenario where the distance traveled (in feet) is proportional to the number of seconds, we can set up proportions based on the information provided.
Let's represent the ratios using the given values:
- For the first set of values:
\( \frac{feet}{seconds} = \frac{3}{5} \)
- For the second set of values:
\( \frac{feet}{seconds} = \frac{x}{15} \)
- For the third set of values:
\( \frac{feet}{seconds} = \frac{z}{3.5} \)
Given the proportional relationship, we can set up and solve the proportions to find the values of x, y, and z:
1. From the first set of values:
\( \frac{3}{5} = \frac{x}{15} \)
Solving for x:
\( x = \frac{3 \times 15}{5} = 9 \)
2. From the third set of values:
\( \frac{3}{5} = \frac{z}{3.5} \)
Solving for z:
\( z = \frac{3 \times 3.5}{5} = 2.1 \)
Therefore, the values are:
- \( x = 9 \)
- \( y = 65 \) (given)
- \( z = 2.1 \)
