Respuesta :
Answer:
Given that the question rightly asks the amount it cost to drive from Smithville to Jones City, we have;
The question rightly asks the amount it cost to drive from Smithville to Jones City is approximately $7.209
Step-by-step explanation:
The coordinates of Smithville is (-25, 10)
The coordinates of Jones City is (15, 12)
The cost of driving a car for a mile = $0.18
Therefore, the distance from Smithville to Jones City is given by the formula for the distance, l, between two points with coordinates as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-25, 10) and (x₂, y₂) = (15, 12)
[tex]l = \sqrt{\left (12-10 \right )^{2}+\left (15-(-25) \right )^{2}} = 2 \cdot \sqrt{401}[/tex]
The distance from Smithville to Jones City = 2·√401 ≈ 40.05 miles
The amount, A, it cost to drive from Smithville to Jones City a distance of approximately 40.05 miles is therefore given as follows;
A = 40.05 miles × $0.18 ≈ $7.209
