Page 95 - Math Course 1 (Book 1)

Algebra: Problem-Solving

Using Inductive Reasoning to
Plan Solve Problems
Use the information given to solve the problem.
Look for a pattern in the costs. Extend the pattern Examples
to f nd the cost per pizza for an order of 8 pizzas.
Find the next term in 1, 4, 16, 64, 256, ….
1 pizza costs $9.25
1, 4, 16, 64, 256, ?
Look for a pattern in the costs.
Ordering 2 pizzas cost $9.25 – $0.50 or $8.75 for
each pizza. X4 X4 X4 X4 X4

Ordering 3 pizzas cost $8.75 – $0.50 or $8.25 for Assuming the pattern
each pizza. Answer continues, the next term
is 256 x 4 or 1024

Solve Draw the next f gure in the pattern.

You have the pattern

1 pizza costs $9.25.
2 pizzas cost $9.25 – $0.50 or $8.75 each.
3 pizzas cost $8.75 – $0.50 or $8.25 each.
Answer
Now, extend the pattern.
4 pizzas cost $8.25 – $0.50 or $7.75 for each pizza. The shaded point on the right triangle moves in
the following pattern: right, top, bottom, left, right.
5 pizzas cost $7.75 – $0.50 or $7.25 for each pizza.
Assuming the pattern continues, the shaded
6 pizzas cost $7.25 – $0.50 or $6.75 for each pizza. point will be located on the top in the next f gure.

7 pizzas cost $6.75 – $0.50 or $6.25 for each pizza.
8 pizzas cost $6.25 – $0.50 or $5.75 for each pizza. Your Turn!

Using a 4 Step Problem-Solving Plan
Examine MOVIE RENTAL

It costs $9.25 for one pizza with a discount of The cost of renting movies at Mike’s
$0.50 for each additional pizza ordered. Marvelous Movie House is advertised
as $5 for the f rst movie and $3.50 for
So the cost per pizza for an order of 8 pizzas each additional movie.
would be $5.75.
Find the cost of renting 6 movies.
Examine or check your answer A. $21.00
For an order of 8 pizzas, the cost per pizza would B. $26.00
be C. $22.50
$9.25 – (7 x $0.50) = $9.25 – $3.50 D. $20.50

= $5.75 Answer

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