Bell Work Jessica is planting a triangular flower bed in the corner of her yard, the dimensions of the garden are 8ft. by 4ft. how much edging is needed to enclose the triangular flower bed? (Round to the nearest tenth if needed) Jeremy has 3 pencils on his desk. The lengths of the pencils are: 18 cm, 15 cm, and 8 cm. a. Draw and label a diagram to show what it would look like if he attempted to arrange the 3 pencils into a right triangle. b. Determine if his triangle was actually a right triangle. Use the Pythagorean Theorem to prove your answer. 8 ft. 4 ft.

8.2 Construct Functions Chapter 8 Lesson #2 Pg. 587

Vocabulary Initial Value of a Function This is the corresponding y-value when x equals zero

What we will Learn How to analyze graphs Analyze tables and words

Background Knowledge Steps Find the “change in” both variables (Independent and Dependent) Calculate the Rate of Change (Slope) Substitute slope for the “m” in y = mx + b Use one coordinate value (x, y) from table and substitute for the x and y in Solve for “b” Write the equation in the form

What have we learned Classifying Variables Representing Variables Independent and Dependent Representing Variables Tables and Graphs Finding the Rate of Change 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 Slope Finding the y-intercept The b value in 𝑦=𝑚𝑥+𝑏 Finding the relation equation Ex. 𝑦=4𝑥+7

Example #1 A shoe store offers free points when you sign up for their rewards card. Then, for each pair of shoes purchased, you earn an additional number of points. The graph shows the total points earned for several pairs of shoes. Find and interpret the rate of change and initial value. Rate of Change Interpret Initial Value

Example #2 Joan had some photos in her photo album. Each week she plans to add 12 photos. Joan had 120 photos after 8 weeks. Assume the relationship is linear. Find and interpret the rate of change and the initial value. Rate of Change Interpret Initial Value

Homework Honors Class pg. 591, 1-9 all Regular Class pg. 591, 1-7, 9