Question

The relationship between Amanda’s distance from school and time since she left school is linear, as shown in the table below.
time (hours): 0 , 1, 3
distance (miles): 3, 4.25, 6.75
Based on the table, determine whether each statement is true or false.

Amanda's initial distance from her school is 1.25 miles.

Answer 1

To determine Amanda's initial distance from school, we need to analyze the provided data and see if we can find the y-intercept of the linear relationship. The dataset provides three points:

1. (0, 3)
2. (1, 4.25)
3. (3, 6.75)

Here, the first value in each pair is the time in hours since she left school, and the second value is the distance in miles from the school.

From the data, when time (t) = 0 (i.e., at the starting point), the distance is 3 miles. This means that Amanda's initial distance from school (when she just left) is 3 miles, not 1.25 miles.

Thus, the statement "Amanda's initial distance from her school is 1.25 miles" is **false**.