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A glass of water starts with a temperature of 24∘C24 ∘ C and is heated at a rate of 2∘C2 ∘ C every 30 seconds30seconds.Which point below is on the line representing this information?

Question

A glass of water starts with a temperature of 24∘C24 ∘ C and is heated at a rate of 2∘C2 ∘ C every 30 seconds30seconds.Which point below is on the line representing this information?

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Solution

The problem states that the water is heated at a rate of 2°C every 30 seconds. This means that for every 30 seconds that pass, the temperature of the water increases by 2°C.

Let's take a point (x, y) where x represents time in seconds and y represents temperature in °C.

  1. After 30 seconds (x = 30), the temperature should be 24°C + 2°C = 26°C (y = 26). So, the point (30, 26) is on the line.

  2. After 60 seconds (x = 60), the temperature should be 26°C + 2°C = 28°C (y = 28). So, the point (60, 28) is on the line.

  3. After 90 seconds (x = 90), the temperature should be 28°C + 2°C = 30°C (y = 30). So, the point (90, 30) is on the line.

And so on. Any point that follows this pattern will be on the line representing this information.

This problem has been solved

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