Section 5

Open Learning Logs Date on Left…Section 1 – 5 on right

WARM UP 1 – 5 Write a formula that describes the pattern. (what do we have to do to x to get y?) x y x y x y x y x y

Section 5 Why would we use variables to describe patterns in tables?

Homework Check

Here is the world’s wildest housing development! House 1 House 2 House 3 House 4 ? House 10 Set up a table… h is house number… r is the number of rectangular blocks in that house 8642r 4321h Find a formula for r in terms of h Algebraically … r = 2h

Number of Lemons Cups of Punch ? Translate from Tables to Math and solve!!!! Write an equation to show total cups of punch from number of lemons and finish the table. Let n = number of Lemons Let c = cups of punch c = 1.5n

Minutes in phone call Cost of call 1$2.15 2$2.30 3$2.45 4? Translate from Tables to Math and solve!!!! Write an equation to show total cost of call from number of minutes and finish the table. Let n = number of minutes Let c = total cost c = $ $0.15n

Write a formula that describes the pattern. (what do we have to do to x to get y?) XY

Write a formula that describes the pattern. (what do we have to do to x to get y?) XY

Write a formula that describes the pattern. (what do we have to do to x to get y?) XY

Write a formula that describes the pattern. (what do we have to do to x to get y?) XY

Tonight’s Homework HoffmaSheet 1-5 SKIP problems

Open Learning Logs Date on Left Section 1 – 5 Part 2 on right

1-5 Warm up Part 2 Number of Apple Pies Eaten Pounds gained ? Let n = number of apple pies Let p = pounds gained Write a formula to represent this table

Homework Check

Definitions for functions The part 2 warm-up example had two variables. One variable “p” had no choice but to change its value depending on the value of the other variable “n”. Because “p” had to change its value in relation to “n”, we say “p” is dependent on “n”. Put another way, “p” is the dependent variable. That makes “n” the independent variable. Independent Variable provides the input values to a function. These values are called the Domain of the function. Dependent Variable provides the output values of a function. These values are called the Range of the function.

Definitions for functions Independent Variable provides the input values to a function. These values are called the Domain of the function. Dependent Variable provides the output values of a function. These values are called the Range of the function. A Function is the rule, or set of operations, used to get from the independent variable’s value to the dependent variable’s value – it’s what you DO to the input to get the output

The amount Maria earns for babysitting after school and on Saturday depends upon the number of hours she works. She works no more than 16 hours a week and earns 7$ per hour Independent Variable: Dependent Variable: Let T be the amount of money Maria makes, and h be the number of hours she works. What is the… Domain: Range: h T 0 – 16 hours $0 - $112 Maria earns $7 per hour for babysitting after school and on Saturday. She works no more than 16 hours a week. HoffmaSample Function Rule: T = 7h

Please do…now… HoffmaSheet 1 – 5 numbers 9 – 14 Watch out for the type reflow….