Jax tutors algebra students for a base fee of $15 plus an additional $10 an hour. Which of the following is the point when Jax tutors a student for 2.5 hours? What do the coordinates mean in the context of the situation?

Question

1. (2.5, 10); Jax will tutor a student for 2.5 hours and earn a profit $10
2. (2.5, 40); Jax will tutor a student for 2.5 hours and earn a profit of $40
3. (2.5, 25); Jax will tutor a student for 2.5 hours and earn a profit of $25
4. (40, 2.5); Jax will tutor a student for 2.5 hours and earn a profit $40

Answer 1

To determine the total earnings for Jax when tutoring a student for 2.5 hours, we can calculate it using the given rates.

1. Base fee: $15
2. Hourly fee: $10 per hour

For 2.5 hours, the total earnings can be calculated as follows:

1. Hourly earnings: \(10 , \text{dollars/hour} \times 2.5 , \text{hours} = 25 , \text{dollars}\)
2. Total earnings: Base fee + Hourly earnings = \(15 + 25 = 40 , \text{dollars}\)

Given this information, if Jax tutors a student for 2.5 hours, he would earn $40 in total.

Now let's match this calculation to the options provided.

The correct point representing this situation in the format (hours, earnings) is:

(2.5, 40) - which corresponds to option 2.

Context of the coordinates:

• The x-coordinate (2.5) represents the number of hours Jax tutors a student.
• The y-coordinate (40) represents the total earnings Jax makes from tutoring for that time period.

Thus, option 2 is the correct answer: (2.5, 40); Jax will tutor a student for 2.5 hours and earn a profit of $40.