An uber fare in san diego is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. you plan to give the driver a $2 tip. how many miles can you ride for $15? show or explain your calculations.

3.6 miles

Step-by-step explanation:

For a trip of x miles, there are x-0.5 miles of it that are "additional", which makes (x-0.5)/0.1 additional tenths.

Then the charges (in dollars) are ...

... 3.50 + 0.30(x -0.5)/0.1

Adding a tip of $2 and requiring the total be less than $15 gives ...

... 3.50 + 0.30(x -0.5) + 2.00 ≤ 15.00

... 5.50 + 3(x - 0.5) ≤ 15.00 . . . . simplify a bit

... 4.00 +3x ≤ 15.00 . . . . . . . . . . simplify more

... 3x ≤ 11.00 . . . . . . subtract 4.00

... x ≤ 3.667 . . . . . . divide by 3

Miles are measured in tenths. We cannot go 3.7 miles on $15, but we can go 3.6 miles.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a