Write a function rule for the area A of a triangle whose base, b is 2 cm less than seven times the height, h. What is the area of the triangle when the height is 14 cm?
The function rule for the area of a triangle with base b and height h is:
A = (1/2) * b * h
Given that the base, b, is 2 cm less than seven times the height, h:
b = 7h - 2
Let's substitute this value of b into the area formula:
A = (1/2) * (7h - 2) * h
When the height is 14 cm (h = 14):
A = (1/2) * (7*14 - 2) * 14
= (1/2) * (98 - 2) * 14
= (1/2) * 96 * 14
= 48 * 14
= 672 cm²
Therefore, the area of the triangle when the height is 14 cm is 672 cm².