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The rate of change of a function in the form of y=mx+b is equal to m.
See solution.
We are given functions that describe scores of two players A and B in a game of trivia. We are asked to make conclusions about how each player earns points based on their rate of change. To do that, we first need to find the rates of change. Let's start with Player A.
The scores of Player A are represented with an equation.
We found that the rate of change of Player A's scores is 4. Now, let's find the rate of change of Player B's scores.
The function that represents Player B's scores is given in the form of a table.
Let's count the change in the number of correct answers and the score.
To calculate the rate of change, we can divide the change in outputs (score) by the change in inputs (correct answers). Rate of change=Change in outputs/Change in inputs ⇕ Rate of change=1/1=1 The rate of change of Player B's scores is 1.
We found the rates of change of the scores of both players.
| Player | Rate of Change |
|---|---|
| Player A | 4 |
| Player B | 1 |
The rate of change tell us how many points a player earns per correct answer. This means that Player A gains 4 points and Player B gains only 1 point for each correct answer.
