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Lesson 10: Relate Tables, Graphs, and Equations — Practice Questions

  1. 1. A streaming service has a 10 dollar activation fee and costs 8 dollars per month. Which equation represents the total cost, $C$, for $m$ months of service?

    • A. $C = 10 + 8m$
    • B. $C = 10m + 8$
    • C. $C = 18m$
    • D. $C = 10 - 8m$
  2. 2. A plumber's total charge, $C$, is modeled by $C = 75 + 50h$, where $h$ is the number of hours worked. If a job takes 3 hours, the total charge is ___ dollars.

  3. 3. Which representation of a linear relationship is a compact summary that is best for making precise predictions?

    • A. A table of values
    • B. An algebraic equation
    • C. A graph
    • D. A verbal description
  4. 4. A salesperson's weekly pay is $P = 400 + 0.10S$, where $S$ is their total sales. If their sales for the week are 3,500 dollars, what is their total pay, $P$? ___ dollars.

  5. 5. A table shows a plant's growth. The point (4, 12) is in the table, where the first number is weeks and the second is height in inches. What does this point mean?

    • A. The plant grows 12 inches every 4 weeks.
    • B. After 12 weeks, the plant is 4 inches tall.
    • C. The plant started at a height of 12 inches.
    • D. After 4 weeks, the plant is 12 inches tall.
  6. 6. A laser printer prints pages at a constant rate described by the equation $p = 40t$, where $p$ is the number of pages and $t$ is the time in minutes. How many pages can it print in 6 minutes? ___ pages

  7. 7. A water tank starts with 50 liters. Water is added at a rate of 15 liters per minute. Let $V$ be the total volume of water and $t$ be the time in minutes. Which equation represents this relationship?

    • A. $V = 50t + 15$
    • B. $V = 15t + 50$
    • C. $V = 50 - 15t$
    • D. $V = 65t$
  8. 8. A linear relationship is described by the equation $y = 3x + 7$. In a table of values for this equation, what is the value of $y$ when $x = 5$? ___

  9. 9. A baker's total cost, $C$, to make a custom cake is given by $C = 1.50d + 12$, where $d$ is the number of decorations. If the total cost was $21.00, how many decorations were added? ___ decorations

  10. 10. The table shows a linear relationship between $x$ and $y$. Which equation correctly represents this relationship? | x | y | |---|---| | 2 | 3 | | 4 | 7 | | 6 | 11 |

    • A. $y = x + 1$
    • B. $y = 2x - 1$
    • C. $y = 3x - 3$
    • D. $y = 4x - 5$