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2 years ago

The table represents an exponential function

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

5 0

The multiplicative rate is 9 if the table that shows an exponential function option fourth is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have a table that shows an exponential function.

As we know the exponential function:

y = a(b)ˣ

Plug x = 1, y = 6

6 = ab ...1

Plug x = 2, y = 4

4 = ab² ...2

Divide equations 1 and 2

ab²/ab = 4/6

b = 2/3

Plug the value of b in the 1 equation.

a(2/3) = 6

a = 9

y = 9(2/3)×

The multiplicative rate = 9

Thus, the multiplicative rate is 9 if the table that shows an exponential function option fourth is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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the following table shows the number of hours some high schools students in two towns spend riding the bus

11Alexandr11 [23.1K]

There is no table (just a comment)

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3 years ago

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They

Solnce55 [7]

From the solution to the inequality, the correct interpretation is that:

Amanda's family can drive 244 miles before they need to refill the gas tank.

The amount of miles they can still travel is modeled by the following <em>inequality</em>:

$108 + x \leq 352$

It is solved similarly to an equality, hence:

$x \leq 352 - 108$

$x \leq 244$

Then:

Amanda's family can drive 244 miles before they need to refill the gas tank.

You can learn more about inequalities at brainly.com/question/25629776

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2 years ago

The line plot shows the growth, In Inches, of Isabella's plant over 13 days. Growth of Isabella's Plant What is the total growth

mart [117]

Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is $4\frac{1}2$ inches

<h3>How to determine the total growth</h3>

From the line plot, the total growth can be represented as:

$Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3$

Evaluate the products

$Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8$

Evaluate the sum

$Total = \frac{4+4+9+4+15}8$

Evaluate the numerator

$Total = \frac{36}8$

Evaluate the quotient

$Total = 4\frac{1}2$

Hence, the total growth, in inches, of Isabella's plant is $4\frac{1}2$ inches