Test 4 Mat 1101 Functions And Equation Worksheet

Test 4 Mat 1101 Functions And Equation Worksheet - 2009 Page 2

11. Find the equation of the parabola having

12. A homeowner wants to build a rectangular patio where

a vertex of (3, -6) and passing through (2, -4).

the length of the patio is 10 feet longer than the width. If

area of the patio is 144 ft

, what are the dimensions of the

patio?

13. A stone is thrown downwards from a bridge 800 feet off of the ground at a velocity of 20 feet per second.

Let “h(t)” represent the height of the stone after “t” seconds, and use h(t) = -16t

+ v

t + h

a) Find h(t).

b) What is the height of the

c) How long does it take the stone to

stone after 5 seconds?

hit the ground?

14. A toy manufacturer determines that the daily cost for producing “x” units of a toy truck can be

approximated by C(x) = 0.005x

– x + 100.

a) How many trucks must be produced

b) What is the minimum cost?

c) How much does it cost

in order to minimize the daily cost?

to produce 225 trucks?

15. Given the graph of the quadratic equation at the right, find:

a) the vertex of the equation ________________________

b) f(3) = _______

c) the equation of the parabola _________________________

d) the x-intercepts of the equation __________, ___________

16. The number of Krispy Kreme stores in operation for “x” years after 1999 can be approximated by the

function K(x) = 7x

+ 8x + 131.

a) How many Krispy Kreme stores

b) During what year did Krispy Kreme

were in operation in 2008?

celebrate the opening of its 500

store?

Test 4 Mat 1101 Functions And Equation Worksheet - 2009 Page 2