Question

The function y = 3.5x + 2.8 represents the cost y (in dollars)of a taxi ride of x miles. You have enough money to travel at most 20 miles in the taxi. Select the correct domain and range of the function (2 selections)

Answer 1

Given : The function y = 3.5x + 2.8 represents the cost y (in dollars)of a taxi ride of x miles. You have enough money to travel at most 20 miles in the taxi.

To Find :  domain and range

Solution:

y =   3.5x + 2.8

cost y (in dollars)

x miles.  

You have enough money to travel at most 20 miles in the taxi.

0 <  x ≤ 20

Hence  x  = [0 , 20 ]

Domain x  = (0 , 20 ]

y =   3.5x + 2.8

x = 0

=> y = 0 + 2.8 = 2.8

x = 20

=> y = 3.5(20) + 2.8

=> y = 70 + 2.8

=> y = 72.8

2.8  <  y  ≤  72.8

y = (2.8 , 72.8 ]

Range = (2.8 , 72.8 ]

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