Question

Frank needs to drive 240 mi from city A to city B. After having driven x mi, the distance remaining r(x) (in mi) is given by r(x)=240−x. (a) Evaluate r(61) and interpret the meaning. (b) Determine the distance remaining after 147mi. Part: 0/2 Part 1 of 2 (a) r(61)=. Thus, after driving mi, Frank still has mi remaining. At a restaurant, if a party has eight or more people, the gratuity is automatically added to the bill. If x is the cost of the meal, then the total bill C(x) with a IS % gratuity and a 5% sales tax is given by: C(x)=x+0. 05x+0. 15x. Evaluate C ( 225) and interpret the meaning in the context of this problem. Round to the nearest cent. If the cost of the food is 5 , then the totat bill inctuding tax and tip is $

Answer 1

(a) To evaluate r(61), we substitute 61 for x in the equation r(x) = 240 - x:

r(61) = 240 - 61

r(61) = 179

The meaning of r(61) is that after driving 61 miles, Frank still has 179 miles remaining to reach city B.

(b) To determine the distance remaining after driving 147 miles, we substitute 147 for x in the equation r(x) = 240 - x:

r(147) = 240 - 147

r(147) = 93

Therefore, after driving 147 miles, Frank still has 93 miles remaining to reach city B.

Now moving to the second part:

To evaluate C(225), we substitute 225 for x in the equation C(x) = x + 0.05x + 0.15x:

C(225) = 225 + 0.05(225) + 0.15(225)

C(225) = 225 + 11.25 + 33.75

C(225) = 270

The meaning of C(225) is that if the cost of the meal is $225, then the total bill including tax and tip is $270.

It's important to note that the last part of your question seems to be incomplete. If the cost of the food is $5, we need additional information to calculate the total bill including tax and tip.