Question

Pls help it due ASAP And show workings!

Answer 1

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, $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.

$x_1$ and $y_1$ represent the x and y values of one point, and $x_2$ and $y_2$ 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:

$d = \sqrt{((-2)-(3))^2+((4)-(-2))^2$

$d = \sqrt{(-2-3)^2+(4+2)^2}$

$d = \sqrt{((-5)^2+(6)^2$

$d = \sqrt{25 + 36} \\d = \sqrt{61}$

$\sqrt{61}$ units is about 7.8 units (you can also tell because it's in between $\sqrt{49}$ and $\sqrt{64}$, 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.