QuestionFind the time $t$ (in minutes) when the altitude $a=3400t+600$ reaches 21,000 feet.

Studdy Solution

STEP 1

Assumptions1. The altitude $a$ (in feet) of a plane $t$ minutes after takeoff is given by $a=3400 t+600$ . . We need to find the time $t$ when the altitude $a$ is21,000 feet.

STEP 2

First, we need to set up the equation to solve for $t$ . We know that the altitude is21,000 feet, so we can set $a$ equal to21,000 and solve for $t$ .
$3400 t +600 =21000$

STEP 3

Subtract600 from both sides of the equation to isolate the term with $t$ .
$3400 t =21000 -600$

STEP 4

Calculate the right side of the equation.
$3400 t =20400$

STEP 5

Now, divide both sides of the equation by3400 to solve for $t$ .
$t = \frac{20400}{3400}$

STEP 6

Calculate the value of $t$ .
$t = \frac{20400}{3400} =6$ The plane is at an altitude of21,000 feet6 minutes after takeoff.

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QuestionFind the time $t$ (in minutes) when the altitude $a=3400t+600$ reaches 21,000 feet.

Studdy Solution

STEP 1

Assumptions1. The altitude $a$ (in feet) of a plane $t$ minutes after takeoff is given by $a=3400 t+600$ . . We need to find the time $t$ when the altitude $a$ is21,000 feet.

STEP 2

First, we need to set up the equation to solve for $t$ . We know that the altitude is21,000 feet, so we can set $a$ equal to21,000 and solve for $t$ .
$3400 t +600 =21000$

STEP 3

Subtract600 from both sides of the equation to isolate the term with $t$ .
$3400 t =21000 -600$

STEP 4

Calculate the right side of the equation.
$3400 t =20400$

STEP 5

Now, divide both sides of the equation by3400 to solve for $t$ .
$t = \frac{20400}{3400}$

STEP 6

Calculate the value of $t$ .
$t = \frac{20400}{3400} =6$ The plane is at an altitude of21,000 feet6 minutes after takeoff.

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QuestionFind the time ttt (in minutes) when the altitude a=3400t+600a=3400t+600a=3400t+600 reaches 21,000 feet.

Studdy Solution

STEP 1

Assumptions1. The altitude aaa (in feet) of a plane ttt minutes after takeoff is given by a=3400t+600a=3400 t+600a=3400t+600. . We need to find the time ttt when the altitude aaa is21,000 feet.

STEP 2

First, we need to set up the equation to solve for ttt. We know that the altitude is21,000 feet, so we can set aaa equal to21,000 and solve for ttt.3400t+600=210003400 t +600 =210003400t+600=21000

STEP 3

Subtract600 from both sides of the equation to isolate the term with ttt.3400t=21000−6003400 t =21000 -6003400t=21000−600

STEP 4

Calculate the right side of the equation.3400t=204003400 t =204003400t=20400

STEP 5

Now, divide both sides of the equation by3400 to solve for ttt.t=204003400t = \frac{20400}{3400}t=340020400​

STEP 6

Calculate the value of ttt.t=204003400=6t = \frac{20400}{3400} =6t=340020400​=6The plane is at an altitude of21,000 feet6 minutes after takeoff.

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QuestionFind the time $t$ (in minutes) when the altitude $a=3400t+600$ reaches 21,000 feet.

Assumptions1. The altitude $a$ (in feet) of a plane $t$ minutes after takeoff is given by $a=3400 t+600$ . . We need to find the time $t$ when the altitude $a$ is21,000 feet.

First, we need to set up the equation to solve for $t$ . We know that the altitude is21,000 feet, so we can set $a$ equal to21,000 and solve for $t$ .
$3400 t +600 =21000$

Subtract600 from both sides of the equation to isolate the term with $t$ .
$3400 t =21000 -600$

Calculate the right side of the equation.
$3400 t =20400$

Now, divide both sides of the equation by3400 to solve for $t$ .
$t = \frac{20400}{3400}$

Calculate the value of $t$ .
$t = \frac{20400}{3400} =6$ The plane is at an altitude of21,000 feet6 minutes after takeoff.