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Len [333]
3 years ago
10

a school system is reducing the amount of dumpster loads of trash removed each week. in week 5, there were 40 dumpster loads of

waste removed. in wee 10,there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0
Since it is given that the reduction in the amount of waste each week is linear, it is conclusive that these data are also in arithmetic sequence. First, determine the common difference (d)
                                 d = (a10 - a5) / (10 - 5)
Subsituting the known values,
                                d = (30 - 40) / 5 = -2
To determine any term (at) of the arithmetic sequence,
                            at = a1 + (n - 1) x d 
Solve for a1 by using either the given a5 or a10,
                            40 = a1 + (5 -1) x -2     ; a1 = 48
The equation becomes, 
                                 at = 48 + -2(n -1)
                               
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Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.

<em />

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Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

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On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.

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