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2 years ago

Use the grid to create a model to solve the percent problem. 12 is 60% of what number? Enter your answer in the box

Mathematics

2 answers:

viva [34]2 years ago

5 0

Answer: 12 is 60 % of 20.

Step-by-step explanation:

Let us take a 10 box grid,

In which every box shows 10 %, ( Shown below )

Hence, the whole grid shows total 100% .

In the grid,

$60\% = 12$

$1\% = \frac{12}{60}$

$1\%=\frac{1}{5}$

$100\% = \frac{100}{5}=20$

Hence, 12 is 60 % of 20.

Elenna [48]2 years ago

3 0

Is means equal to and of means multiply. So....your equation would be 12=60%x. Now since u can't multiply by a percent, u gotta do 12=.6x. Now divide by .6 so that it cancels out. Your answer is 20. Hope this helps!

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

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