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2 years ago

Write a function to describe the following scenario.

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

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3 years ago

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$