Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the weight of an object on earth is proportional to the weight of an ob…

Question

the weight of an object on earth is proportional to the weight of an object on the moon. a 150 - pound object would weigh approximately 25 pounds on the moon. plot at least 2 points on the graph representing the equation from question 3. draw a line connecting them. (making a table will help knowing you)

Explanation:

Step1: Find the proportionality constant

The weight on Earth ($E$) and weight on moon ($M$) are proportional. Given $E = 150$ pounds and $M=25$ pounds, the proportionality constant $k=\frac{M}{E}=\frac{25}{150}=\frac{1}{6}$. So the equation is $M=\frac{1}{6}E$.

Step2: Find the first point

Let $E = 0$. Then $M=\frac{1}{6}\times0 = 0$. So the first point is $(0,0)$.

Step3: Find the second point

Let $E = 60$. Then $M=\frac{1}{6}\times60 = 10$. So the second point is $(60,10)$.

Step4: Plot the points

Plot the points $(0,0)$ and $(60,10)$ on the graph and draw a line connecting them.

Answer:

Plot the points $(0,0)$ and $(60,10)$ and draw a line through them.