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Westkost [7]
3 years ago
6

How does f(x) = 10x change over the interval from x = 5 to x = 6?

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0

Answer:

f(x) increases by 900%

Step-by-step explanation:

f(x) increases by 900%

f(5) = 105

f(6) = 106

f(6)

f(5)

=  

106

105

= 106−5 = 10

Therefore, f(x) increases by a factor of 10 over the interval from x = 5 to x = 6.

Then,

A value increases by p% if it changes by a factor of 1 +  

p

100

.

f(6) = 10f(5)

f(6) = (1 + 9)f(5)

f(6) = (1 +  

900

100

)f(5)

f(6) = f(5) +  

900

100

f(5)

f(6) = f(5) + 900% · f(5)

Thus, f(6) is 900% larger than f(5). So, f(x) increases by 900% over the interval from x = 5 to x = 6.

kaheart [24]3 years ago
5 0

Answer:

C. 900 \%

Step-by-step explanation:

The given function is

f(x)=10^x

Substitute x=5 to get;

f(5)=10^5=100000

Substitute x=6 to get;

f(5)=10^6=1000000

The percentage increment of f(x) over the interval from x=5 to x=6 is

=\frac{100000-100000}{10000}\times100 \%

=\frac{900000}{10000}\times100 \%

=9\times100 \%

=900 \%

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