Two friends, Ryan and Tressa, are on vacation. They decide to go bungee jumping off a platform. Their height from the ground can be modeled by the function y = 4x^2-32x+80, where the x represents the time after they jumped and y represents their height above ground. How high is the platform off the ground?

Question

Mathematics

String Bean

6 August, 00:54

Two friends, Ryan and Tressa, are on vacation. They decide to go bungee jumping off a platform. Their height from the ground can be modeled by the function y = 4x^2-32x+80, where the x represents the time after they jumped and y represents their height above ground. How high is the platform off the ground?

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Answers (1)

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Leonel Johnson · Answer 1

80 units

Step-by-step explanation:

Step 1:

Given,

The function representing the height is y = 4x^2-32x+80

where the x represents the time after they jumped and y represents their height above ground.

We need to find the platform's height.

Step 2:

Since x represents the time after they jumped, x = 0 when they have not started jumping and the corresponding y will give the height before they start jumping which would be the height of the platform

Step 3:

When x = 0 we have

y = 0-0+80 = 80

So the height of the given platform is 80 units.