Problem of the Week

Aug 8, 2021 | Folsom

 

 

 

 

 

 

Did you figure it out?

Solution:  The vertex of a parabola that opens down, like the model of the leap, is the highest point. So, the vertex of our model will be (1, 10). To write our equation, we first plug h and k into our general form: y = a(x – 1)² + 10. Next, we use a known point on the parabola and plug those values in for x and y. Let’s use the origin: 0 = a(0 – 1)² + 10. If we solve for a, we get a = 10. So, our equation that models the leap is y = 10(x – 1)² + 10.

 

 

 

 

 

 

 

 

Did you figure it out?

Solution:  A ton is 2,000 pounds, so 200 tons is 200 × 2,000 = 400,000 pounds. If we divide 400,000 by 125, we get 3,200. So, the blue whale is 3, 200 times the weight of the Hector’s dolphin.