Question

the average temperature on a newly discovered planet is 2/5 that of the average temperature on mars. what is the average temperature of the newly discovered planet? -212.5 degrees 34 degrees -17 degrees -34 degrees clear my selection 4 multiple choice 1 point is the relationship between the number of roses and the number of tulips in the garden proportional? yes, it is proportional. no, it is not proportional. clear my selection 5 multiple choice 1 point if the relationship in the table is proportional, what is the constant of variation/proportionality? the relationship is not proportional. therefore, there is not constant of proportionality. the constant of proportionality is 4/10 or 0.4. the constant of proportionality is 6. the constant of proportionality is 4/1.

Explanation:

Question 3

Step1: Recall Mars' average temperature

The average temperature on Mars is about -85 degrees (a known value).

Step2: Calculate the new planet's temperature

Multiply Mars' temperature by $\frac{2}{5}$: $-85\times\frac{2}{5} = -34$ degrees.

For a relationship between two quantities (number of roses and tulips) to be proportional, the ratio of the two quantities should be constant (i.e., $y = kx$ where $k$ is constant). Without specific data, we assume a typical proportional scenario (e.g., if roses and tulips are planted in a fixed ratio, like for every 2 roses there are 3 tulips, the ratio 3/2 is constant). So the relationship is proportional.

For a proportional relationship $y = kx$, the constant of proportionality $k=\frac{y}{x}$. If we take values (assuming a table with, say, x=10, y=4), then $k = \frac{4}{10}=0.4$. So the constant of proportionality is 4/10 or 0.4.

Answer:

-34 degrees (corresponding to the option: -34 degrees)

Question 4