In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of th

Question

In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of the trip.
The per kilometre rate is $12/km. You decide to go on a 5 km trip, and it costs you $70.
a) What is the fixed rental cost? Show your work.
b) Determine the equation relating the cost, C, in dollars, and the distance, d, in km.
d) What is the cost of an 18 km trip?
e) What is the distance travelled if the total cost is $250?

PLEASEEEEEEEE

mocmien2 · Answer

Using a  linear function,  we have that:   a)  The  fixed cost  is of $10.   b)  The  equation  is: C = 10 + 12d.   c)  The cost of an 18 km trip is  $226.    d)  The  distance  traveled is of  20 km .    What is a linear function?    A linear function is  modeled  by:  y = mx + b    In which:    m  is the  slope , which is the rate of change, that is, by how much y changes when x changes by 1.     b  is the  y-intercept , which is the value of y when x = 0, and can also be interpreted as the initial value of the function.     For this problem, the  slope is of m = 12 . When d = 5, C(d) = 70, hence we find the  fixed cost  as follows:  C(d) = 12d + b  70 = 60 + b  b = 10.    Hence the  equation  is:  C(d) = 12d + 10.    For a trip of 18 km,  d = 18 , hence the  cost  is:  C(12) = 12 x 18 + 10 = $226.    When the  cost is of $250 , the  distance  is found as follows:  250 = 12d + 10  12d = 240  d = 240/12  d = 20 km.    More can be learned about  linear functions  at https://brainly.com/question/24808124  #SPJ1

What is a linear function?

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