Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.

Question

coordinate plane with the x-axis labeled number of hours and the y-axis labeled total raised 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.
The slope is 6, which means that the amount the student raised increases by $6 each hour.
The slope is one sixth, which means that the amount the student raised increases by $0.34 each hour.
The slope is 12, which means that the student will finish raising money after 12 hours.
The slope is 20, which means that the student started with $20.

Answer 1

To determine the slope of the line in the graph, we can use the two points it passes through: (0, 20) and (5, 50).

The formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Substituting in our points:

\[ m = \frac{50 - 20}{5 - 0} = \frac{30}{5} = 6 \]

So, the slope is \( 6 \).

Explanation in Real-World Terms

The slope of 6 means that for every hour Laila danced, she raised an additional $6. In other words, as Laila increases her dancing time by one hour, the total money raised for the Animals are Loved Shelter increases by $6.

Therefore, the correct interpretation is:

• The slope is 6, which means that the amount the student raised increases by $6 each hour.