SOLUTION: The Hybrid-Only Car Rental agency uses the function f(x) = 26 for any daily use of a car up to and including 220 miles. For driving more than 220 miles per day, it uses the funct

Algebra ->  Functions -> SOLUTION: The Hybrid-Only Car Rental agency uses the function f(x) = 26 for any daily use of a car up to and including 220 miles. For driving more than 220 miles per day, it uses the funct      Log On


   



Question 1019486: The Hybrid-Only Car Rental agency uses the function
f(x) = 26
for any daily use of a car up to and including 220 miles. For driving more than 220 miles per day, it uses the function
g(x) = 26 + 0.16(x − 220)
to determine the charges. How much would the company charge for daily driving of 120 miles? of 260 miles? of 330 miles? of 400 miles?
Your help is much appreciated.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+26+
+g%28x%29+=+26+%2B+.16%2A%28+x+-+220+%29+
--------------------------
(a)
120 mi
This is less than +220+, so the charge is:
+f%28120%29+=+26+
$26
(b)
260 mi
This is more than +220+, so the charge is:
+g%28260%29+=+26+%2B+.16%2A%28+260+-+220+%29+
+g%28260%29+=+26+%2B+.16%2A40+
+g%28260%29+=+26+%2B+6.4+
+g%28260%29+=+32.4+
$32.40
(c)
This is more than +220+, so the charge is:
+g%28330%29+=+26+%2B+.16%2A%28+330+-+220+%29+
+g%28330%29+=+26+%2B+.16%2A110+
+g%28330%29+=+26+%2B+17.6+
+g%28330%29+=+43.6+
$43.60
(d)
This is more than +220+, so the charge is:
+g%28400%29+=+26+%2B+.16%2A%28+400+-+220+%29+
+g%28400%29+=+26+%2B+.16%2A180+
+g%28400%29+=+26+%2B+28.8+
+g%28400%29+=+54.8+
$54.80