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Rate of Change / Initial Value Word Problems

  •  English    15     Public
    Find the rate of change or initial value from context!
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  • A phone company has a one-time set up fee of $30 and charges $85 per month. What is the rate of change?
    $85 per month
  •  10
  • What was the starting temperature?
    8 degrees
  •  10
  • How much did the gift card start with?
    $0
  •  10
  • Netflix has started to charge a one-time fee of $10 and charges $2 per movie. What is the initial value?
    $10 one-time fee
  •  15
  • An amusement park charges a one-time entrance fee and a cost per hour. What is the cost per hour from this graph?
    $5 per hour
  •  15
  • For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Find the slope and the y-intercept for Nicole’s charges.
    slope = 5 , y-int = 3
  •  15
  • A phone company charges a base fee plus a cost per minute. What is the cost per minute?
    $0.06 (or 6 cents) per minute
  •  20
  • I had a 12 oz cup of water. I took a sip of water every hour. The equation y = 12 - 3x represents the water in x hours. What does the rate of change mean in this equation?
    -3 means I drank 3 oz per hour
  •  25
  • 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. Find the initial value for the receding river.
    34 feet
  •  10
  • Jamesly is heating a pot of water, the water increases seven and a half degrees every minute. He put water in the pot at 40 degrees. He records the temperature of the water in the pot every minute: y = 7.5x + 40. What does 7.5 represent?
    The water increases 7.5 degrees every minute
  •  15
  • Loli planted a banana tree and tracked the growth of it every day in the graph below. What does the initial value represent?
    The banana tree was 8 inches when it was planted.
  •  20
  • I got a fence installed at my house. The company charged me a consultation fee then a cost per foot of fence. Based on the graph, what was my consultation fee?
    $150
  •  15
  • The temperature in a water tank was decreasing each hour, on the graph below. How much did the temperature decrease per hour?
    decreased 2 degrees per hour
  •  20
  • Jamaal the plumber charges $25 for a service call plus $50 per hour of service. What is the rate of change?
    $50 per hour
  •  10
  • Find the rate of change AND initial value for the table.
    rate of change = 8, initial value = 3
  •  15