The document discusses how the cost of a pizza varies directly as the square of its radius. It is given that a 6 inch pizza costs $8, and asks how much an 11 inch pizza would cost using this relationship.
THE COST OFA PIZZA VARIES DIRECTLY AS
THE SQUARE OF ITS RADIUS. IF A PIZZA
WITH A 6 INCH RADIUS COSTS $8.00, HOW
MUCH SHOULD A PIZZA WITH AN 11 INCH
RADIUS COST?
2.
SLOPE-INTERCEPT FORM
• THESLOPE-INTERCEPT FORM OF A LINE IS THE MOST COMMON FORM OF A LINE
• DESCRIBES A LINE AND ALL OF THE POINTS CONTAINING THAT LINE
• ALLOWS YOU TO QUICKLY IDENTIFY THE SLOPE AND THE Y-INTERCEPT
• SLOPE-INTERCEPT FORM: 𝑦 = 𝑚𝑥 + 𝑏
3.
WHICH OF THEFOLLOWING ARE WRITTEN
IN SLOPE-INTERCEPT FORM?
• 𝑦 =
2
3
𝑥 + 6
•3𝑥 + 7𝑦 = 4
• 𝑦 = 3𝑥 − 8
•3𝑦 = −7𝑥 + 12
4.
WRITE AN EQUATIONIN SLOPE-INTERCEPT
FORM GIVEN TWO POINTS.
•FIND THE EQUATION OF THE LINE THAT PASSES THROUGH (-1,4) AND (1, -2)
5.
ON YOUR OWN
•FINDTHE EQUATION OF THE LINE THAT PASSES THROUGH (5, -3) AND (-4, 3).
ON YOUR OWN
•WRITETHE EQUATION IN SLOPE-INTERCEPT FORM: 7𝑥 − −6 𝑥 = −2𝑦 + 4
8.
GRAPH THE LINE
•𝑦 = 5𝑥 − 1
USE THE FOLLOWING STEPS:
1. EQUATION IS IN SLOPE-INTERCEPT FORM
2.IDENTIFY Y-INTERCEPT
3.IDENTIFY SLOPE
4.PLOT NEXT TWO POINTS
#3 I will read over this slide and the students will take notes. When we get to the last point, I will elaborate on what each of the variables represent in the equation. I will go over the variables in this order:
(𝑥,𝑦) x and y represent all of the points on the line and are referred to as 𝑥 1 , 𝑦 1 and ( 𝑥 2 , 𝑦 2 )
m (lower case) represents the slope of the line. (review slope)
b (lower case) represents the y-intercept. Look for this number on the y-axis to begin the graph.
m and b are constants (they will never change)