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A linear graph displays the relationship between income (in $) and time (in hours). 

The x-axis represents time (in hours), and the y-axis represents income (in $). The graph's plotted line starts at the origin (0,0) and ascends upward, indicating a positive correlation; as time increases, income increases linearly. 

The graph is set up with gridlines to facilitate accurate reading of values. The y-axis shows marked increments from 0 to 70, representing income. The x-axis similarly shows increments from approximately -1 to 8, representing time.

What words correctly describe this function? Check all that apply.

Responses

Nonlinear
Nonlinear

The slope is negative
The slope is negative

The slope is positive
The slope is positive

Nonproportional
Nonproportional

After 60 hours, you are making $6 per hour
After 60 hours, you are making $6 per hour

Increasing
Increasing

Proportional
Proportional

Decreasing
Decreasing

Linear
Linear

Continuous rate of change
Continuous rate of change

After 2 hours, you are making #30 income
After 2 hours, you are making #30 income
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1 answer

Based on the description of the graph, the correct words that apply to the function are:

  • The slope is positive
  • Increasing
  • Proportional
  • Linear
  • Continuous rate of change

The other options do not apply:

  • Nonlinear - Incorrect
  • The slope is negative - Incorrect
  • Nonproportional - Incorrect
  • After 60 hours, you are making $6 per hour - This statement cannot be confirmed without specific values for the slope or income at 60 hours.
  • Decreasing - Incorrect
  • After 2 hours, you are making $30 income - This statement cannot be confirmed without knowing the specific values provided by the graph.