To answer the questions based on the provided data:
a. Every minute
To find out how many meters are traveled each minute, we can look at the distance traveled per time unit (distance divided by time for each observation), but ideally we need to look for a consistent rate. Here, we can calculate the average distance traveled per minute based on the provided data points.
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From the data provided:
- For \( x = 4 \), \( y = 76 \) \( \to \frac{76}{4} = 19 \) meters/minute
- For \( x = 3 \), \( y = 57 \) \( \to \frac{57}{3} = 19 \) meters/minute
- For \( x = 10 \), \( y = 190 \) \( \to \frac{190}{10} = 19 \) meters/minute
- For \( x = 7 \), \( y = 133 \) \( \to \frac{133}{7} \approx 19 \) meters/minute
- For \( x = 9 \), \( y = 171 \) \( \to \frac{171}{9} = 19 \) meters/minute
Therefore, the average meters traveled per minute is 19.
b. Write an equation to show the relationship between x and y.
From the observations above, it's clear that the relationship between \( x \) and \( y \) can be expressed as a linear equation, where distance \( y \) is related to time \( x \) as follows:
\[ y = 19x \]
c. This relationship is
The relationship is proportional because the y-intercept is 0. The linear equation \( y = 19x \) suggests that when time is 0, the distance is 0, confirming a proportional relationship.
So, to fill in the responses:
a. Every minute 19 meters are traveled.
b. Write an equation to show the relationship between x and y. Response area y = 19x
c. This relationship is proportional because the y-intercept is 0.
1 answer