Math

QuestionFind the height of a hot-air balloon at t=7t = 7 minutes using the equation y=87014.8ty = 870 - 14.8t.

Studdy Solution

STEP 1

Assumptions1. The height of the hot-air balloon at time tt is given by the equation y=87014.8ty=870-14.8 t . We need to find the height at t=7t =7 minutes

STEP 2

We need to substitute t=7t =7 into the equation to find the height yy.
y=87014.8×ty =870 -14.8 \times t

STEP 3

Substitute t=7t =7 into the equation.
y=87014.8×7y =870 -14.8 \times7

STEP 4

Perform the multiplication operation.
y=870103.6y =870 -103.6

STEP 5

Subtract 103.103. from 870870 to find the height yy.
y=870103.=766.4y =870 -103. =766.4The height of the hot-air balloon at time t=7t =7 minutes is 766.4766.4 feet.

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