The minimum number of traveled miles is
0. To determine the cost that corresponds with this distance, we can substitute
x=0 into the equation and solve for
y. y=4(0)+2.5
The minimum cost of a taxi ride is
$2.50. It is given that there is enough money to travel most
30 miles. We can consider this the maximum distance. To determine the cost of such a ride, we will substitute
x=30 into the equation and solve for
y.
y=4(30)+2.5 y=120+2.5
Since
y=122.5 when
x=30, the maximum cost of a ride is
$122.50. From our work above, we have established that Kareem can travel from
0 to
30 miles and the cost is from
$2.50 to
$122.50. These values represent the lower and upper boundaries of our domain and range.
D: R: 0≤x≤302.5≤y≤122.5