Math Problem Statement

solve it

What point on the graph represents the unit rate?

Solution

To find the point on the graph representing the unit rate, we need to identify the earnings for 1 hour of work. The unit rate in this context is the amount Salma earns per hour.

Steps:

  1. Look at the graph and find the point where x=1x = 1 (1 hour).
  2. Determine the corresponding yy-value (earnings) for that x=1x = 1.

Observations:

From the graph:

  • At x=1x = 1, y=25y = 25.

Answer:

The point on the graph that represents the unit rate is (1,25)(1, 25).

This means Salma earns $25 per hour.

Would you like more details, or do you have questions on any part of this solution?


Related Questions:

  1. What would be Salma’s total earnings after working 8 hours?
  2. How can we calculate total earnings for any given number of hours?
  3. What does the slope of the line represent in this context?
  4. How would the graph change if Salma received a raise?
  5. How can we determine if a relationship is proportional based on a graph?

Tip:

The unit rate on a graph is often found by identifying the point where x=1x = 1, making it easy to interpret per-unit values.

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Math Problem Analysis

Mathematical Concepts

Proportional Relationships
Unit Rate
Linear Graphs

Formulas

Unit rate formula: unit rate = y / x

Theorems

Slope of a line (rate of change)

Suitable Grade Level

Grades 6-8