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3 years ago

The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.

Mathematics

1 answer:

Julli [10]3 years ago

4 0

Y=ab^x so we can pick any two points, I'll use (1,2) and (2,1)

1/2=(ab^2)/(ab^1)

1/2=b, and then we can use any point to solve for a, I'll use (4, 1/4)

1/4=a(1/2)^4

1/4=a/16

a=4 so our equation is:

y=4(1/2)^x

Thus a=4 and b=1/2

You might be interested in

Find the common ratio and an explicit form in each of the following geometric sequences.

Margaret [11]

Answer:

The explicit form is $a_{n}=162(2/3)^{n-1}$

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

$a_{n}=ar^{n-1}$

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

$a_{n}=162(2/3)^{n-1}$

7 0

2 years ago

Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.

Lapatulllka [165]

Answer:

0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

Step-by-step explanation:

1/5 divided by 4

=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

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<h3><em><u>Hope this helped!! </u></em></h3>

3 0

2 years ago

How does finding the greatest common factor help you to solve real world problem

Mashcka [7]

Greatest Common Factors (GCF) can help you in real life problems with fractions and measuring things. Below is a real life example.

Let's say you want to send cookies into one of two classes and want to make sure you have an even number per student. You know that one class has 8 students and the other has 10 students. How many cookies do you make?

Answer: All you have to do is figure out the biggest number that goes into each number equally (division). In this case the answer would be 2.

If i helped please comment below smiley And i hope i helped you!

4 0

3 years ago

Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She w

Anon25 [30]

There will be 50 gift bags.

The first set of 25 bags
----------------------------------
Because there are 25 thumb drives, the first 25 bags will each have 1 thumb drive.
Also, each bag will have 5 times as many key chains as a thumb drive. Therefore each of the first 25 bags will have
1 thumb drive, 5 key chains.

After the first 25 bags, we have used
25 thumb drives, 5*25 = 125 key chains.

The second set of 25 bags
----------------------------------------
We have a total of 200 key chains, so we have 200-125 = 75 key chains left.
Distribute them equally among the remaining 25 bags, so each bag has
75/25 = 3 key chains.

Answer:
25 bags, each with 1 thumb drive and 5 key chains.
Another 25 bags, each with 3 key chains.

4 0

2 years ago

Read 2 more answers

The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure

lions [1.4K]

Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490..... Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

6 0

2 years ago