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nasty-shy [4]
3 years ago
9

Kari bought 3 gallons of milk that cost 3.79 if she paid the cashier with a 20 bill how much change should Kari receive

Mathematics
2 answers:
ki77a [65]3 years ago
6 0

Cost of 3 gallons of milk =3.79

Amount Kari paid =20

difference =20-3.79 = 16.21

so she will receive 16.21 back

Nitella [24]3 years ago
4 0

Here the price of 1 gallon of milk is $3.79. SO price of 3 gallons of milk = 3.79 * 3= $11.37. But she gives the cashier $20 .

So to find the change Kari shoul receive, we need to subtract the price of 3 gallons of milk from $20 = 20 -11.37 = $8.63 .

THerefore Kari receive $8.63 as change from cashier .

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Part B)

The <em>y-</em>intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from <em>d</em> = 4 to <em>d</em> = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after <em>d</em> days is given by the function:

f(d)=5(1.02)^d

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for <em>d</em>. Therefore:

6.34=5(1.02)^d

Divide both sides by five:

(1.02)^d=1.268

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\displaystyle d=\log_{1.02}1.268

Using the Change of Base Property, evaluate for <em>d: </em>

<em />\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12<em />

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

0\leq d\leq 12

Part 2)

The <em>y-</em>intercept of the function is when <em>d</em> = 0. Find the <em>y-</em>intercept:

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Since <em>d</em> represent the amount of days after the study had begun, the <em>y-</em>intercept represents the radius of the algae on the initial day.

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Part 3)

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We want to find the average rate of change of f(d) from <em>d</em> = 4 to <em>d</em> = 11.

Find the endpoints:

f(4)=5.4121...\text{ and } f(11)=6.2168...

And find the slope between them:

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Since f(d) measures millimeters and <em>d</em> measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

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