Math Problem Statement

Estimate the temperature when coffee sales are 1200 based on the graph provided.

Solution

The graph shows the relationship between the café's coffee sales (in hundreds) and the outside temperature (°C). To estimate the temperature when the coffee sales are 1200, we first need to find the corresponding point on the graph and estimate the temperature.

Looking at the graph, the vertical axis represents the number of coffee sales in hundreds. Since 1200 coffee sales mean 12 hundred, locate this on the vertical axis (Y-axis).

  1. From 12 on the Y-axis, trace horizontally until you intersect the line of best fit.
  2. Once you hit the line, trace downwards to the temperature (X-axis).

By observation, the point of intersection on the X-axis should be around 15°C.

Would you like to verify the steps, or do you need further explanation?

Here are five related questions to deepen your understanding:

  1. How would the result change if the trend of coffee sales was increasing instead of decreasing with temperature?
  2. Can you derive an equation for the line of best fit from the graph?
  3. What would happen to coffee sales if the temperature increased to 30°C, based on the graph's trend?
  4. How can you estimate sales at a temperature of 10°C?
  5. What does the slope of the line represent in real-world terms for the café?

Tip: Always check if the graph follows a linear pattern when making estimates for values not explicitly given.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Relationships
Graph Reading
Estimation

Formulas

Slope formula (y2 - y1) / (x2 - x1)

Theorems

Line of Best Fit
Linear Interpolation

Suitable Grade Level

Grades 6-8