Bellwork December 2 - 6 1. Solve for y: 4x – 2y = 10 2. Find the y-intercept in the equation 4x – 2y = 10.

Ex #1 x y 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. 1. Write an equation that represents the table. Do I know my y-intercept? 2. Find the depth of oil after one half-hour. 9 feet

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. Her distance as a function of time is shown in the graph. y x 1. Write an equation to show the relationship between the distance biked and the time in hours. 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. Her distance as a function of time is shown in the graph. y x 2. Identify the slope and the y-intercept and describe their meanings. slope: 18 Helen’s speed. y-intercept: 10 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. Her distance as a function of time is shown in the graph. y x 3. How far will Helen have biked after 3 hours? miles

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. x y 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. x y 1. Write an equation in slope-intercept form to represent this linear function. 38 = 3 ● 2 + b 38 = 6 + b -6 -6 32 = b

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. x y 2. How many rows has Toni knitted after 10 hours? 62 rows

You Try 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 1. Write an equation that represents the cost as a function of the number of hours worked. x y = 30 ● x + 300

You Try 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 2. Identify the slope and the y-intercept and describe their meanings. x slope: 30 The amount charged per hour. y-intercept: 100 The initial fee.

You Try 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 3. How much money will the organizer make after 10 hours? x