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Blue day – 3/9/15 Gold day – 3/10/15

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Word problems with linear equations will be in slope-intercept form if you are given the following information: the slope (m) - the rate of change the y-intercept (b) - the starting (initial) value

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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. a. Write an equation that represents the cost as a function of the number of hours. An equation is y = 30 x plus $100 x for each hour Cost is $30 y = 30

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A closet organizer charges $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below. b. Identify the slope and y-intercept and describe their meanings. The y-intercept is 100. This is the cost for 0 hours, or the initial fee of $100. The slope is 30. This is the rate of change of the cost: $30 per hour. c. Find the cost if the organizer works 12 hrs. y = 30x = 30(12) = 460 Substitute 12 for x in the equation The cost of the organizer for 12 hours is $460.

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A caterer charges a $200 fee plus $18 per person served. The cost as a function of the number of guests is shown in the graph. a. Write an equation that represents the cost as a function of the number of guests. An equation is y = 18x Costis $18 for each meal plus $200 y = 18 x + 200

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A caterer charges a $200 fee plus $18 per person served. The cost as a function of the number of guests is shown in the graph. b. Identify the slope and y-intercept and describe their meanings. The y-intercept is 200. This is the cost for 0 people, or the initial fee of $200. The slope is 18. This is the rate of change of the cost: $18 per person. c. Find the cost of catering an event for 200 guests. y = 18x = 18(200) = 3800 Substitute 200 for x in the equation The cost of catering for 200 people is $3800.

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Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?

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For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y-intercept represent? How much money will she make if she baby-sits 5 hours?

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A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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