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tia_tia [17]
3 years ago
5

Giovanni is visiting her grandmother who lives in an apartment building on the 25th floor. Giovanni enters the elevator in the l

obby, which is the first floor in the building. The elevator stops on the 16th floor. What percentage of 25 floors does Giovanni have left to reach his grandmother's floor. Use pictures, tables, or number sentences to solve the task. Explain your reasoning in words.
PLEASE TELL ME WHICH METHOD YOU ARE USING, PICTURES, TABLES, OR NUMBER SENTENCE
Mathematics
2 answers:
Blizzard [7]3 years ago
5 0
So how many does he have left

25-16=9
9 floors left

the want a percentage so 9 out of 25
percent is out of 100
a hack for this specific problem is that 25 is exactly 1/4 of 100 so
9/25 times 1=the same thing so
9/25 times 4/4 (simplifies to 1)=(9 times 4)/(25 times 4)
36/100
this is out of 100 so
36%

of course there is a legit way of solving this problem but this is a hack (this works for factors of 100 like 2,4,5,10,20,25,50)
lyudmila [28]3 years ago
5 0
I believe the answer would be 36%.
So, let's start with fractions. Giovanni is on the 16th floor out of 25; so, 16/25. Now, if we divide 16 by 25, it will give us a decimal, which is .64. Multiply this by 100, and we have a percent! So, the 16th floor is 64% up the building, if that makes sense.
After that, just subtract 64 from 100 to get the difference: 36%.
I really hope this helps!
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Answer:

\begin{gathered} A)\text{ }Domain:\text{ \lparen0,11\rparen} \\ B)\text{ the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.} \\ C)\text{ rate of change= 0.64. This means that on average the algae grows 0.64mm per day.} \end{gathered}

Step-by-step explanation:

If the radius of the algae was approximately 13.29 mm, substitute f(d)=13.29 and solve for d to determine the domain:

\begin{gathered} 13.29=7\left(1.06\right)^d \\ \frac{13.29}{7}=1.06^d \\ d=\frac{\text{ log\lparen13.29/7\rparen}}{\text{ log\lparen1.06\rparen}} \\ d=11 \\ \text{ Then, the domain:} \\ (0,11) \end{gathered}

B. The y-intercept is obtained when d=0, hence;

\begin{gathered} d=0 \\ f(0)=7(1.06)^0 \\ f(0)=7 \end{gathered}

Therefore, the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.

C. Now, to determine the rate of change of a function, use the following equation:

\text{ rate of change=}\frac{change\text{ over y}}{change\text{ over x}}

Then, determine the value of f(4):

\begin{gathered} f(4)=7(1.06)^4 \\ f(4)=8.83 \end{gathered}

Hence, the rate of change on that interval of the function:

\begin{gathered} \text{ rate of change=}\frac{13.29-8.83}{11-4} \\ \text{ rate of change=0.64 } \end{gathered}

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