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Novosadov [1.4K]
3 years ago
14

Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

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Write an equation and solve: Your math homework has 6 more than three times the number of problems you have on your history work
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Answer:

33 math problems

Step-by-step explanation:

Let's set a few variables:

Number of math problems = m

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We know that in total, we have 42 problems.

m + h = 42

We also know that our math homework has 6 problems more than 3 times the number of history problems.

m = 3*h + 6

So m is 3 times h, plus 6.

m + h = 42

We can subtract h from both sides of this equation.

m = 42 - h

Now we can put this value for m, 42-h, into our other equation.

m = 3*h + 6

42 - h = 3*h + 6

Subtracting 6 from both sideS:

36 - h = 3*h

Adding h to both sides:

36 = 3*h + h

36 = 4*h

Dividing both sides by 4:

9 = h

h = 9

We know that the number of math problems is the following:

m = 42 - h

Let's put the value for h, 9, into this equation:

m = 42 - 9

m = 33

Answer: 33 math problems

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Answer:

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