Question

MAX POINTS!

Answer 1

Answer:

$\frac{200}{3}$ square units

Step-by-step explanation:

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - $\frac{3}{4}$ x

0 = 10 - $\frac{3}{4}$ x

$\frac{3}{4}$ x = 10

x = $\frac{40}{3}$

This means that the base length of the triangle is also  $\frac{40}{3}$. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is $\frac{1}{2}$ × height × base

Height = 10, base = $\frac{40}{3}$

Area = $\frac{1}{2}$ × 10 × $\frac{40}{3}$

Area = 5 × $\frac{40}{3}$

Area =  $\frac{200}{3}$