Understanding Uber Ride Cost Calculation

The video tutorial explains how to estimate the cost of an Uber ride using a mathematical model. It guides viewers through writing an inequality to represent the cost, solving the inequality for the number of miles, and interpreting the results. The tutorial includes detailed steps for solving the inequality, performing division, and rounding the result to two decimal places. The final interpretation shows that the maximum distance that can be traveled with the available budget is 8.49 miles.

What is the formula used to estimate the cost of the Uber ride?

• C = 19.5m + 2.45

• C = 15.5m + 3.45

• C = 20.5m + 1.45

• C = 18.5m + 2.45

What inequality represents the cost of the trip if you have $19?

• 19.5m + 2.45 = 19

• 19.5m + 2.45 ≤ 19

• 19.5m + 2.45 ≥ 19

• 19.5m + 2.45 > 19

What is the first step in solving the inequality for m?

• Add 2.45 to both sides

• Subtract 2.45 from both sides

• Multiply both sides by 2.45

• Divide both sides by 2.45

After isolating the m term, what operation is performed next?

• Multiply both sides by 1.95

• Add 1.95 to both sides

• Divide both sides by 1.95

• Subtract 1.95 from both sides

What is the purpose of moving the decimal point in the division process?

• To make the dividend a whole number

• To make the divisor a whole number

• To simplify the subtraction

• To increase the quotient

How many 195s are in 1,655 according to the estimation method used?

• Eight

• Seven

• Nine

• Six

What is the rounded value of m after solving the inequality?

• 8.49

• 8.50

• 8.47

• 8.48

What is the range of m in the compound inequality?

• 0 < m ≤ 8.49

• 0 < m < 8.49

• 0 ≤ m < 8.49

• 0 ≤ m ≤ 8.49

What does the compound inequality indicate about the distance you can travel?

• You can travel exactly 8.49 miles

• You can travel more than 8.49 miles

• You can travel up to 8.49 miles

• You can travel less than 8.49 miles

Why is it important to remember that the value of m is rounded?

• To understand the limitations of the estimate

• To ensure the inequality is correct

• To avoid traveling more than 8.49 miles

• To ensure accuracy in calculations