QuestionFind the chirp count $c$ when the temperature $T=90$ using the formula $T=30+0.28c$ . What does $c$ represent?

Studdy Solution

STEP 1

Assumptions1. The relationship between the number of times a cricket chirps in one minute and the temperature outside is linear and can be expressed using the formula $=30+0.28c$ . $$ represents the temperature in degrees Fahrenheit3. $c$ represents the number of times the cricket chirps in one minute4. We are asked to find the meaning of the $c$-value when $=90$

STEP 2

First, we need to isolate $c$ in the given formula. We can do this by subtracting30 from both sides of the equation.
$-30 =0.28c$

STEP 3

Now, plug in the given value for $$ to calculate $c$.
$90 -30 =0.28c$

STEP 4

Calculate the value on the left side of the equation.
$60 =0.28c$

STEP 5

Next, we need to isolate $c$ . We can do this by dividing both sides of the equation by0.28.
$c = \frac{60}{0.28}$

STEP 6

Calculate the value of $c$ .
$c = \frac{60}{0.28} =214.29$ The $c$ -value when $=90$ is approximately214.29. This means that the cricket could be expected to chirp approximately214 times in one minute when the temperature is $90^{\circ} \mathrm{}$ .

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QuestionFind the chirp count $c$ when the temperature $T=90$ using the formula $T=30+0.28c$ . What does $c$ represent?

Studdy Solution

STEP 1

STEP 2

First, we need to isolate $c$ in the given formula. We can do this by subtracting30 from both sides of the equation.
$-30 =0.28c$

STEP 3

Now, plug in the given value for $$ to calculate $c$.
$90 -30 =0.28c$

STEP 4

Calculate the value on the left side of the equation.
$60 =0.28c$

STEP 5

Next, we need to isolate $c$ . We can do this by dividing both sides of the equation by0.28.
$c = \frac{60}{0.28}$

STEP 6

Calculate the value of $c$ .
$c = \frac{60}{0.28} =214.29$ The $c$ -value when $=90$ is approximately214.29. This means that the cricket could be expected to chirp approximately214 times in one minute when the temperature is $90^{\circ} \mathrm{}$ .

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QuestionFind the chirp count ccc when the temperature T=90T=90T=90 using the formula T=30+0.28cT=30+0.28cT=30+0.28c. What does ccc represent?

Studdy Solution

STEP 1

STEP 2

First, we need to isolate ccc in the given formula. We can do this by subtracting30 from both sides of the equation.−30=0.28c -30 =0.28c−30=0.28c

STEP 3

Now, plug in the given value for $$ to calculate $c$.90−30=0.28c90 -30 =0.28c90−30=0.28c

STEP 4

Calculate the value on the left side of the equation.60=0.28c60 =0.28c60=0.28c

STEP 5

Next, we need to isolate ccc. We can do this by dividing both sides of the equation by0.28.c=600.28c = \frac{60}{0.28}c=0.2860​

STEP 6

Calculate the value of ccc.c=600.28=214.29c = \frac{60}{0.28} =214.29c=0.2860​=214.29The ccc-value when =90=90=90 is approximately214.29. This means that the cricket could be expected to chirp approximately214 times in one minute when the temperature is 90∘90^{\circ} \mathrm{}90∘.

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QuestionFind the chirp count $c$ when the temperature $T=90$ using the formula $T=30+0.28c$ . What does $c$ represent?

First, we need to isolate $c$ in the given formula. We can do this by subtracting30 from both sides of the equation.
$-30 =0.28c$

Now, plug in the given value for $$ to calculate $c$.
$90 -30 =0.28c$

Calculate the value on the left side of the equation.
$60 =0.28c$

Next, we need to isolate $c$ . We can do this by dividing both sides of the equation by0.28.
$c = \frac{60}{0.28}$

Calculate the value of $c$ .
$c = \frac{60}{0.28} =214.29$ The $c$ -value when $=90$ is approximately214.29. This means that the cricket could be expected to chirp approximately214 times in one minute when the temperature is $90^{\circ} \mathrm{}$ .