Answer:
D. about 40 miles
Step-by-step explanation:
In order to answer the question, you first need to find how many units on the graph Seaside is from Oceanfront - or how long the line between the two points is.
To do this, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Use the points of Seaside (by looking on the graph, you can see it's (-2,4)) and Oceanfront (also by looking, you can see it's (3, -2)) for the formula:
[tex]d = \sqrt{((-2)-(3))^2+((4)-(-2))^2\\[/tex]
[tex]d = \sqrt{(-2-3)^2+(4+2)^2}[/tex]
[tex]d = \sqrt{((-5)^2+(6)^2\\[/tex]
[tex]d = \sqrt{25 + 36} \\d = \sqrt{61}[/tex]
[tex]\sqrt{61}[/tex] units is about 7.8 units (you can also tell because it's in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex], which equal 7 and 8). Multiply that by 5 (since each unit on the graph represents 5 miles) and the answer is about 40. So, the answer is D.
