Question

A taxicab does not charge an entry fee, but does charge $0.55 for each unit, where a unit is defined as 5 of a mile. Write the linear equation of the solution using Y= mx + b, where X represents the number of miles traveled and y represents the amount of the fare.

Answer 1

To write the linear equation of the solution, we need to find the slope (m) and the y-intercept (b) in the equation Y = mx + b. The slope represents the fare per unit, which is $2.75, and since there is no entry fee mentioned, the y-intercept would be zero. Therefore, the linear equation of the solution is Y = 2.75x.

Step-by-step explanation:

To write the linear equation of the solution, we need to find the slope (m) and the y-intercept (b) in the equation Y = mx + b. In this case, x represents the number of miles traveled and y represents the amount of the fare.

The problem states that the taxicab charges $0.55 for each unit, where a unit is defined as 5 miles. So, for each unit (5 miles), the fare is $0.55 x 5 = $2.75.

Therefore, the slope (m) is the fare per unit, which is $2.75. Since there is no entry fee mentioned, the y-intercept (b) would be zero.

Putting it all together, the linear equation of the solution would be: Y = 2.75x.