Question

answers:
( 0,57 )
( 0,0 )
y=x-19
y=x/19
non proportional
y=133x
-19
y=19x
57
19
proportional
( 0,19 )
( 4, 76 )
76
19y=x
133

2. Given the table for x, time in minutes and y, distance traveled:

x - time 4 3 10 7 9
y - distance 76 57 190 133 171


(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every minute Response area meters are traveled.

b. Write an equation to show the relationship between x and y. Response area

c. This relationship is Response area because the y-intercept is Response area .

Answer 1

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.

1. 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**.