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djverab [1.8K]
2 years ago
15

Please help me I'll mark brainliest ​

Mathematics
1 answer:
nlexa [21]2 years ago
4 0

Answer:

B

Step-by-step explanation:

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f(x) = 30 + x

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Combine multiplied terms into a single fraction
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2 years ago
Y = −9x + 60
storchak [24]

Answer:

<em>First option</em> is the correct answer. i.e. <em>Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.</em>

Step-by-step explanation:

<em>Given:</em>

A little research search shows that you have missed to mention the function 1. So, I am assuming the function 1 was as follows:

<u><em>Function 1 </em></u>

This function shows the relationship between the amount (in $) (y)  remaining in Morgan's money box and number of months (x).

So, below is the function 1.

1(x) 50(y)

2(x) 40(y)

3(x) 30(y)

4(x) 20(y)

<u><em>Function 2</em></u>

The equation shows the relationship between the amount of money (in $) (y) remaining in Leigh’s money box and the number of months (x).

So, below is the function 2.

y = −9x + 60

<em>Solution:</em>

For function 1, we need to use the slop formula to determine the rate of change for function 1, which is given by:

                                 m = (y² - y¹) ÷ (x² - x¹)

Putting the point  (x¹, y¹) = (1, 50) and (x²,  y²) = (2,  40) in slope formula:

                                 m = (y² - y¹) ÷ (x² - x¹)

                                     = (40 - 50) ÷ (2 - 1)

                                      = (-10) ÷ (1)

                                       = ( -10) × (1) = -10

The negative sign indicates that money was spent by Morgan each month. So, the rate of change would be m = -10.

For function 2, we need to use the slop intercept form of equation to determine the rate of change for function 2, which is given by:

                                         y = mx + b

Here, m is represented as slop and b is treated as y-intercept.

As the function is given by:

                                             y = −9x + 60

                                  Here, m = -9 and b = 60

So, the rate of change is -9 for function 2, meaning Leigh is spending $9 each month, and negative sign indicates money is being spent.

Therefore, if we compare the rate of change of function 1 with the rate of change of function 2, we can establish that rate of function 1 shows a greater rate of change, because Morgan spends spends $10 each month and Leigh spends $9 month each month.

Hence, <em>First option</em> is the correct answer. i.e. <em>Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.</em>

Keywords: rate of change, function

Learn more about rate of change from brainly.com/question/12306497

#learnwithBrainly

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