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emmasim [6.3K]
3 years ago
9

Given the exponential function ƒ(x) = 45(1⁄3)x, find ƒ(0) and ƒ(1).

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

Answer:

f(0)= 45

f(1)= 15

Step-by-step explanation:

f(x)= 45(\frac{1}{3})^x

We are give with exponential function

to find f(0) we plug in 0 for x

f(x)= 45(\frac{1}{3})^x

f(0)= 45(\frac{1}{3})^0

anything to exponent 0 is 1

so f(0)= 45

to find f(1) we plug in 1 for x

f(x)= 45(\frac{1}{3})^x

f(1)= 45(\frac{1}{3})^1

f(1)= (\frac{45}{3})=15

f(1)= 15

In-s [12.5K]3 years ago
4 0
Answer for f(0) = 15
Answer for f(1) = 15
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Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

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As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

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And, the distance travelled by walking:

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Now, the total distance travelled by Julio:

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Substituting the value of x from equation (1) we get:

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<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

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