Math Problem Statement

A spreadsheet has been created for the user to enter information in the cells noted below: 1. Starting odometer reading in A1 2. Ending odometer reading in A2 3. Fuel efficiency measure in mpg in A3 4. Duration of trip in A4 5. Gas price per gallon in A5 a. Write a formula to calculate the speed of the car for the trip in cell C1. b. Write a formula to calculate the number of gallons of gas used in cell C2. c. Write a formula to calculate the total cost of gas for the trip in cell C3.

Solution

Let's go through each part of the question and create the formulas for cells C1, C2, and C3.

Given:

  • Starting odometer reading in A1A1
  • Ending odometer reading in A2A2
  • Fuel efficiency in miles per gallon (mpg) in A3A3
  • Duration of trip in hours in A4A4
  • Gas price per gallon in A5A5

Part a: Speed of the car for the trip in cell C1

To calculate speed, we need the distance traveled divided by the duration of the trip.

Formula for C1: =A2A1A4= \frac{A2 - A1}{A4} Explanation:

  • A2A1A2 - A1 gives the distance traveled.
  • Dividing this by A4A4 (duration in hours) provides the speed in miles per hour.

Part b: Number of gallons of gas used in cell C2

To calculate the gallons used, divide the distance traveled by the fuel efficiency (mpg).

Formula for C2: =A2A1A3= \frac{A2 - A1}{A3} Explanation:

  • A2A1A2 - A1 gives the distance traveled.
  • Dividing by A3A3 (mpg) calculates the number of gallons used.

Part c: Total cost of gas for the trip in cell C3

To find the total cost, multiply the gallons of gas used by the price per gallon.

Formula for C3: =C2×A5= C2 \times A5 Explanation:

  • C2C2 represents the gallons of gas used.
  • Multiplying by A5A5 (price per gallon) gives the total cost for the gas.

Would you like further details on any specific part of the formulas?

Here are some related questions that might deepen your understanding:

  1. How would you modify these formulas if the fuel efficiency varied throughout the trip?
  2. What formula could calculate the total miles covered if you only knew the speed and duration?
  3. How could you calculate the fuel efficiency if you only had the starting and ending odometer, the amount of gas used, and the price per gallon?
  4. If the gas price fluctuated during the trip, how might you account for this in the cost calculation?
  5. How could this spreadsheet be adjusted to calculate average speed over multiple trips?

Tip: When creating formulas, ensure that you reference cells correctly to avoid errors, especially if you plan to copy the formula to other cells.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Algebra
Ratios and Rates

Formulas

Speed = (A2 - A1) / A4
Gallons of Gas Used = (A2 - A1) / A3
Total Cost of Gas = C2 * A5

Theorems

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Suitable Grade Level

Grades 8-10