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Balloon A is released 5 feet above the ground. Balloon B is released at ground level. Both balloons rise at a constant rate. Which situation can you represent using an equation of the form y = kx? Explain.

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Answer:

The situation of balloon B

Explanation:

Balloon A is released 5 feet above the ground and our ground level be 0 feet. Let k be the rate at which it rises and t the time it takes to rise. Its height y, above the ground after time x is y = kt + 5

For Balloon B since it is released at ground level at which ground level is taken as 0 feet, let t be the time it takes to rise above the ground and k the rate at which it rises above the ground. Its height y above the ground after tie x is y = kt

Since the expression for Balloon B is y = kt and the expression for Balloon A is y = kt + 5, only the situation of Balloon B can be expressed in the form y = kx.

This is because the rate of rise of Balloon B follows a direct proportionality while the rate of rise of Balloon follow a joint proportionality since it starts from a point other than ground level.

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