Several years ago, Mr. Davis bought an antique clock. Since then, it has increased in value. In this graph, x represents the number of years he has owned the clock, and y represents the value of the clock in dollars. Which situation is represented by the graph below?

Question

A.
Mr. Davis bought a clock worth $300. Each year the value of the clock has increased by $50.
B.
Mr. Davis bought a clock worth $300. Each year the value of the clock has increased by $125.
C.
Mr. Davis bought a clock worth $300. Each year the value of the clock has increased by $100.
D.
Mr. Davis bought a clock worth $300. Each year the value of the clock has increased by $200.

Answer 1

To determine which situation is represented by the graph, we need to analyze the initial value and the slope (rate of increase) of the value of the clock over time.

1. Identify the initial value (when x = 0): According to the options, Mr. Davis bought the clock for $300. So, the initial value of y should be $300.

2. Identify the rate of increase: This is represented by how much the value of the clock increases each year (the slope of the graph).

Now, if you can see the graph, you would look for:

• The y-intercept (initial value) which should be $300.
• The slope, which tells you how much y increases as x increases by one (years).

If the slope of the graph was, for example:

• If y increases by $50 for each year, then we would select option A.
• If y increases by $125 for each year, we would select option B.
• If y increases by $100 for each year, we would select option C.
• If y increases by $200 for each year, we would select option D.

Since I cannot see the graph, you would need to evaluate the slope based on its steepness or the mentioned increase in value per year to choose the right option.

Please refer to the graph and apply the above steps to select the correct answer.