Question

In Hannah's scientific experiment, the temperature of a compound rose 2/3 degrees every 3✕/2 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose?

a) 9/4 degrees per hour
b) 2/3 degrees per hour
c) 2/1 degrees per hour
d) 3/2 degrees per hour

Answer 1

To calculate the rate of temperature change per hour, divide the change in temperature (2/3 of a degree) by the change in time (3/2 of an hour) to get a rate of 4/9 degrees per hour, although this doesn't match the provided answer options.

Step-by-step explanation:

To find out the rate at which the temperature of a compound rose per hour, we have to calculate the change in temperature over the change in time, then adjust it to a per hour rate. Since the temperature of the compound rose 2/3 of a degree every 3/2 of an hour, we calculate the rate by dividing 2/3 by 3/2, which simplifies as follows:

Rate = (2/3) ÷ (3/2) degrees per hour

Rate = (2/3) ÷ (2/3) degrees per hour, since dividing by a fraction is equivalent to multiplying by its reciprocal.

Rate = 4/9 degrees per hour

However, this answer is not listed in the options provided, which indicates there may be an error. Please ensure that the question has been typed accurately. If there has been a mistake and the correct answer among the given options is needed, it is not possible to select one without further correct information.