Math Problem Statement

Calculate the rate of change for electric vehicle counts using the provided data and fill in the missing table entries.

Solution

It appears that you have an assignment related to calculating the rate of change for a data set, possibly in the context of electric vehicle growth over time. Let me help by analyzing and interpreting the steps shown in your work.

From the image, here’s a breakdown of what I see:

  1. Calculation of Rate of Change:

    • You’re calculating the rate of change using two points. It appears that the formula used is: Rate of Change=Output (Year 2) - Output (Year 1)Time (Year 2) - Time (Year 1)\text{Rate of Change} = \frac{\text{Output (Year 2) - Output (Year 1)}}{\text{Time (Year 2) - Time (Year 1)}}
    • You have values, likely for electric vehicle counts, labeled as "new output" and "new input," which you are using to calculate this change.
  2. Values and Subtractions:

    • For example, 0.3(3)=3.30.3 - (-3) = 3.3, indicating a difference calculation.
    • You’ve calculated: 104,49286,731=17,761104,492 - 86,731 = 17,761
    • Another calculation shows: 2324611603=11643vehicles per year23246 - 11603 = 11643 \quad \text{vehicles per year}
  3. Contextual Setup:

    • There’s a table on the right side, which appears to have columns for years and vehicle counts, possibly intended to assist in understanding growth over time.
  4. Terms and Units:

    • The terms "new output" and "new input" likely correspond to vehicle count changes for certain years.

Would you like a more detailed analysis of each step, or is there a specific part you need help with?

Follow-up Questions

  1. Would you like to understand the step-by-step calculation of the rate of change using specific examples?
  2. Do you need help interpreting what each calculated number represents in context?
  3. Would you like assistance with filling out the remaining parts of the table?
  4. Do you need a refresher on rate of change concepts, specifically for word problems?
  5. Would you like guidance on units and labeling for these calculations?

Tip

When calculating the rate of change, ensure consistency in units and always double-check for any subtraction or negative sign errors, as these can impact the final answer.

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Math Problem Analysis

Mathematical Concepts

Rate of Change
Subtraction
Division

Formulas

Rate of Change = (Output2 - Output1) / (Time2 - Time1)

Theorems

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Suitable Grade Level

Grades 9-12