Math / Algebra

QuestionGot It? 4. Pacific gray whales migrate annually from the waters near Alaska to the waters near Baja California, Mexico, and back. The whales travel a distance of about 5000 mi each way at an average rate of 91 mi per day. About how many days does it take the whales to migrate one way? PowerAlgebra.com Lesson 2-5 Literal Equations and Formulas

Studdy Solution

STEP 1

What is this asking? How many days does it take a whale to swim 5000 miles if it swims 91 miles each day? Watch out! Don't mix up the distance and the speed!

STEP 2

1. Set up the relationship between distance, speed, and time.
2. Calculate the time.

STEP 3

Alright, awesome students, let's define our variables!
We'll use $d$ for the total distance, $r$ for the whale's average speed, and $t$ for the time it takes.

STEP 4

The relationship between distance, speed, and time is given by the formula: $d = r \cdot t$ This tells us that the total distance is equal to the rate multiplied by the time.
Makes sense, right?
The farther you go and the faster you go, the more time you'll need!

STEP 5

We're given that $d = 5000$ mi and $r = 91$ mi/day.
We want to find $t$ .
Let's plug in these values: $5000 = 91 \cdot t$

STEP 6

Now, we want to isolate $t$ to find the time.
To do this, we'll divide both sides of the equation by the whale's speed, which is $91$ .
Remember, dividing both sides of an equation by the same number keeps the equation balanced! $\frac{5000}{91} = \frac{91 \cdot t}{91}$

STEP 7

On the right side, the $91$ in the numerator and the $91$ in the denominator effectively divide to one, leaving us with: $\frac{5000}{91} = t$

STEP 8

Now, let's calculate the value of $t$ : $t \approx 54.95$ So, it takes the whales approximately 55 days to migrate one way.

STEP 9

It takes the whales approximately 55 days to complete their one-way migration.

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Studdy Solution

STEP 1

What is this asking? How many days does it take a whale to swim 5000 miles if it swims 91 miles each day? Watch out! Don't mix up the distance and the speed!

STEP 2

1. Set up the relationship between distance, speed, and time.
2. Calculate the time.

STEP 3

Alright, awesome students, let's define our variables!
We'll use $d$ for the total distance, $r$ for the whale's average speed, and $t$ for the time it takes.

STEP 4

The relationship between distance, speed, and time is given by the formula: $d = r \cdot t$ This tells us that the total distance is equal to the rate multiplied by the time.
Makes sense, right?
The farther you go and the faster you go, the more time you'll need!

STEP 5

We're given that $d = 5000$ mi and $r = 91$ mi/day.
We want to find $t$ .
Let's plug in these values: $5000 = 91 \cdot t$

STEP 6

Now, we want to isolate $t$ to find the time.
To do this, we'll divide both sides of the equation by the whale's speed, which is $91$ .
Remember, dividing both sides of an equation by the same number keeps the equation balanced! $\frac{5000}{91} = \frac{91 \cdot t}{91}$

STEP 7

On the right side, the $91$ in the numerator and the $91$ in the denominator effectively divide to one, leaving us with: $\frac{5000}{91} = t$

STEP 8

Now, let's calculate the value of $t$ : $t \approx 54.95$ So, it takes the whales approximately 55 days to migrate one way.

STEP 9

It takes the whales approximately 55 days to complete their one-way migration.

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Studdy Solution

STEP 1

What is this asking? How many days does it take a whale to swim 5000 miles if it swims 91 miles each day? Watch out! Don't mix up the distance and the speed!

STEP 2

1. Set up the relationship between distance, speed, and time.2. Calculate the time.

STEP 3

Alright, awesome students, let's **define** our variables!We'll use ddd for the **total distance**, rrr for the whale's **average speed**, and ttt for the **time** it takes.

STEP 4

The relationship between distance, speed, and time is given by the formula: d=r⋅td = r \cdot td=r⋅t This tells us that the **total distance** is equal to the **rate** multiplied by the **time**.Makes sense, right?The farther you go and the faster you go, the more time you'll need!

STEP 5

We're given that d=5000d = 5000d=5000 mi and r=91r = 91r=91 mi/day.We want to find ttt.Let's **plug in** these values: 5000=91⋅t5000 = 91 \cdot t5000=91⋅t

STEP 6

STEP 7

On the right side, the 919191 in the numerator and the 919191 in the denominator effectively divide to one, leaving us with: 500091=t \frac{5000}{91} = t 915000​=t

STEP 8

Now, let's **calculate** the value of ttt: t≈54.95 t \approx 54.95 t≈54.95 So, it takes the whales approximately **55 days** to migrate one way.

STEP 9

It takes the whales approximately **55 days** to complete their one-way migration.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Set up the relationship between distance, speed, and time.
2. Calculate the time.

Alright, awesome students, let's define our variables!
We'll use $d$ for the total distance, $r$ for the whale's average speed, and $t$ for the time it takes.

The relationship between distance, speed, and time is given by the formula: $d = r \cdot t$ This tells us that the total distance is equal to the rate multiplied by the time.
Makes sense, right?
The farther you go and the faster you go, the more time you'll need!

We're given that $d = 5000$ mi and $r = 91$ mi/day.
We want to find $t$ .
Let's plug in these values: $5000 = 91 \cdot t$

On the right side, the $91$ in the numerator and the $91$ in the denominator effectively divide to one, leaving us with: $\frac{5000}{91} = t$

Now, let's calculate the value of $t$ : $t \approx 54.95$ So, it takes the whales approximately 55 days to migrate one way.

It takes the whales approximately 55 days to complete their one-way migration.