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2 years ago

The total number of photos on Hannah's camera is a linear

Mathematics

2 answers:

Klio2033 [76]2 years ago

8 0

Answer:

The linear function is y = 44 + 24x

The rate of change of the linear function is 44.

Step-by-step explanation:

Hannah already had 44 photos in her camera so this is the initial value of the linear function.

She took 24 photos each day for 6 days. Which means she took:

24 x 6 = 144 photos in those 6 days.

We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:

y = 44 + 24x

To find out the rate of change, we need to differentiate this equation. So,

$\frac{dy}{dx} = 44$

The rate of change of the linear function is 44.

bazaltina [42]2 years ago

8 0

Answer:

Step-by-step explanation:

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The problem is the word "ensures". Our study doesn't show certainty only a general pattern.

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2 years ago

How many groups of 1/4 are in 3

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Step-by-step explanation:

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In 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams.

jekas [21]

Answer:

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Step-by-step explanation:

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$\text{The weight of average pumpkin}=\frac{5000\text{ gm}}{\frac{\text{1000 gm}}{\text{ 1 kg}}}$

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Now, we will subtract the weight of average pumpkin from world's largest pumpkin's weight.

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2 years ago

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Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

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1 year ago