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Bellwork December 2 - 6 1. Solve for y: 4x – 2y = 10 2. Find the y-intercept in the equation 4x – 2y = 10. An oil tank is being filled at a constant rate. The table shows that the depth of oil is a function of the number of minutes the tank has been filling. x y Ex #1 1. Write an equation that represents the table. Do I know my y-intercept? 2. Find the depth of oil after one half-hour. 1 y 30 3 5 y 9 9 feet Helen is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. y Her distance as a function of time is shown in the graph. Ex #2 x 1. Write an equation to show the relationship between the distance biked and the time in hours. y mx b y = 18 ● x + 10 y 18 x 10 Ex #2 Helen is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. y Her distance as a function of time is shown in the graph. y 18 x 10 x 2. Identify the slope and the y-intercept and describe their meanings. slope: 18 y-intercept: 10 Helen’s speed. The distance she has already biked. Ex #2 Helen is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. y Her distance as a function of time is shown in the graph. y 18 x 10 x 3. How far will Helen have biked after 3 hours? y 18 3 10 64 miles Toni is finishing a scarf at a constant rate. The table shows the number of hours Toni has spent knitting this week and the corresponding number of rows in the scarf. You Try y x 1. Write an equation in slope-intercept form to represent this linear function. Do I know my y-intercept? You Try Toni is finishing a scarf at a constant rate. The table shows the number of hours Toni has spent knitting this week and the corresponding number of rows in the scarf. y x 1. Write an equation in slope-intercept form to represent this linear function. y 3x b 38 = 3 ●2 + b 38 = 6 + b -6 -6 32 = b y mx b y 3 x 32 Toni is finishing a scarf at a constant rate. The table shows the number of hours Toni has spent knitting this week and the corresponding number of rows in the scarf. You Try x y 2. How many rows has Toni knitted after 10 hours? y 3 x 32 y 3 10 32 y 62 62 rows A closet organizer charges a $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below. y You Try 1. Write an equation that represents the cost as a function of the number of hours worked. y mx b y = 30 ● x + 300 y 30 x 300 x A closet organizer charges a $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below. y You Try 2. Identify the slope and the yintercept and describe their meanings. y 30 x 300 slope: 30 y-intercept: 100 x The amount charged per hour. The initial fee. A closet organizer charges a $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below. y You Try 3. How much money will the organizer make after 10 hours? y 30 x 300 y 30 10 100 $400 x