Question

Kevin lives 19 kilometers from his office. It costs Kevin $0.31 per mile to drive his truck. Kevin made the equation below to determine how much it costs to drive his truck from his house to the office.

Which statement describes the accuracy of Kevin's equation?

a) Kevin's equation is accurate.
b) Kevin's equation is inaccurate.
c) Kevin's equation needs additional information.
d) Kevin's equation is partially accurate.

Answer 1

The accuracy of Kevin's equation is:

b) Kevin's equation is inaccurate.

Step-by-step explanation:

Kevin's equation is based on the cost per mile, but there's a crucial discrepancy between the units used in the distance and the rate. The given problem states that Kevin lives 19 kilometers from his office, but his cost per mile is given as $0.31. To make the equation accurate, the units need to be consistent. Since Kevin's distance is in kilometers, the cost should be provided in terms of cost per kilometer, not per mile.

The accuracy of an equation depends on the consistent use of units. In this case, the equation is inaccurate because it mixes kilometers and miles. To correct this, either the distance needs to be converted to miles or the cost per mile needs to be converted to cost per kilometer. Without this adjustment, the equation does not accurately represent the cost of driving from Kevin's house to his office. Therefore, the correct answer is b) Kevin's equation is inaccurate, as it does not provide a reliable calculation for the cost of his truck drive in the given units.