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Question

Is the following proportional or non-proportional? If so what is the k value.

hour:2,3,4,5
temp:60,63,70,73

Question 3 options:

Proportional; k = 30

Non-proportional

Proportional; k = -30

Proportional; k = 21

Answer 1

To determine if the relationship between the hours and the temperature is proportional, we need to check if there is a constant ratio \( k \) between them. A proportional relationship means that the ratio of the two variables is constant.

Let's find the ratios for each pair of values:

For hour 2 and temp 60: \[ k = \frac{temp}{hour} = \frac{60}{2} = 30 \]

For hour 3 and temp 63: \[ k = \frac{temp}{hour} = \frac{63}{3} = 21 \]

For hour 4 and temp 70: \[ k = \frac{temp}{hour} = \frac{70}{4} = 17.5 \]

For hour 5 and temp 73: \[ k = \frac{temp}{hour} = \frac{73}{5} = 14.6 \]

Since the value of \( k \) differs for each pair, we can conclude that the relationship is non-proportional.

So the answer is: Non-proportional.