Question

A student is saving money to go on a school field trip. The graph shows the relationship between the number of weeks the student has been saving, x, and the total dollar amount they have saved, y.

coordinate plane with the x axis labeled number of weeks and the y axis labeled total savings in dollars, with a line that passes through the points 0 comma 20 and 5 comma 50

Determine the slope and explain its meaning in terms of the real-world scenario.

Answer 1

So, on average, the student is saving $6 per week. This slope value of 6 represents the constant rate at which the student is adding money to their savings each week. For every week that passes, the total amount saved increases by $6, indicating consistent and steady savings over time.

Explanation:

To determine the slope of the line passing through the points (0, 20) and (5, 50), we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate it:

Change in y = 50 - 20 = 30

Change in x = 5 - 0 = 5

Slope (m) = 30 / 5 = 6

The slope of the line is 6.

Now, let's explain the meaning of the slope in terms of the real-world scenario:

In the context of the student saving money for a school field trip, the slope of 6 means that for each additional week (change in x) the student saves, the total dollar amount saved (change in y) increases by $6.