Conrad taxi service charges $1.50 for the first mile and $0.90 for each additional mile. How far can Mr. Kulp go for $20 if he gives the driver a $2 tip.
Write a let statement; represent the additional miles in terms of the total travelled.
Write an equation; solve.
To solve this problem, we can use a let statement to represent the additional miles in terms of the total traveled. Let's assume that Mr. Kulp can travel a total distance of x miles.
According to the given information, Conrad taxi service charges $1.50 for the first mile. Therefore, the cost for the first mile is $1.50.
For each additional mile, Conrad taxi service charges $0.90. So for the remaining (x-1) miles, the cost would be 0.90 * (x-1).
In addition, Mr. Kulp gives a $2 tip to the driver.
To find out how far Mr. Kulp can go for $20, we need to set up an equation and solve for x.
The equation would be:
1.50 + 0.90 * (x-1) + 2 = 20
Let's solve the equation step by step:
1.50 + 0.90 * (x-1) + 2 = 20
1.50 + 0.90x - 0.90 + 2 = 20 (distributing 0.90 to x and -1)
0.90x + 2.50 = 20 (combining like terms)
Next, we isolate the variable x:
0.90x = 20 - 2.50
0.90x = 17.50
Now, we divide both sides of the equation by 0.90 to solve for x:
x = 17.50 / 0.90
x ≈ 19.44
Therefore, Mr. Kulp can travel approximately 19.44 miles for $20 when giving the driver a $2 tip.