Climb the Ladder

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Climb the Ladder
If f (x)  6x  3 , g(x) 
1.

x
 4 and h(x)  5x 2 , find each value.
3

3. h(3)
2. g(9)
f (5)

4. g(12)
1



5. h(1)

Climb the Ladder
If f (x)  6x  3 , g(x) 
1.





4. g(12)
3. h(3)
2. g(9)
f (5)


x
 4 and h(x)  5x 2 , find each value.
3
5. h(1)
1
Climb the Ladder
x
If p(x)  4 x  5 and w(x)   7 , find x when given the value of the function.
2
1. p(x)  21
2. w(x)  6



2

3. w(x)  3
4. p ( x ) 
5
2

5. Lance has a text plan where he pays $5 each month plus $0.04 per text.
a. Write a function for his cost per month, C(x), based on the number of texts, x, he uses.
b. Find the value of C(350). What does this value represent?
c. His bill last month was $22.80. How many texts did he use?
6. Create a scenario for the following function p ( x)  $22.25 x  $50
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Climb the Ladder
If p(x)  4 x  5 and w(x) 
1. p(x)  21



3. w(x)  3
x
 7 , find x when given the value of the function.
2
2. w(x)  6

5
4. p ( x) 
2

5. Lance has a text plan where he pays $5 each month plus $0.04 per text.
a. Write a function for his cost per month, C(x), based on the number of texts, x, he uses.
b. Find the value of C(350). What does this value represent?
c. His bill last month was $22.80. How many texts did he use?
6. Create a scenario for the following function p ( x)  $22.25 x  $50
2
Climb the Ladder
If p( x)  x  1 , d ( x)  3  x and m( x)  2 x , find each value. Write all non-integers
as fractions in simplest form.
1. p (9) + d (16)
2. m(4)  5 p(10)
1
2
3. 4  d (121)  12 p(1)
3
4. m(6)  p ( 4)
5. Kershner High School started a club to raise money for orphans in Bolivia. They spent $100 to set up a
website for their club. They earned $0.16 per advertisement that was selected on their website.
a. Write a function P(x) for their total profit based on the number of ads, x, that were selected by users.
b. Find the value of P(250). What does this value represent?
c. They earned $237.76 over the course of the year. How many advertisements were selected? Explain
how you know your answer is correct.
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Climb the Ladder
If p( x)  12 x  1 , d ( x)  3  x and m( x)  2 x , find each value. Write all non-integers
as fractions in simplest form.
1. p (9) + d (16)
2. m(4)  5 p(10)
3. 4  d (121)  12 p(1)
3
4. m(6)  p ( 4)
5. Kershner High School started a club to raise money for orphans in Bolivia. They spent $100 to set up a
website for their club. They earned $0.16 per advertisement that was selected on their website.
a. Write a function P(x) for their total profit based on the number of ads, x, that were selected by users.
b. Find the value of P(250). What does this value represent?
c. They earned $237.76 profit over the course of the year. How many advertisements were selected?
Explain how you know your answer is correct.
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