8000 is 80*100. Use a calculator if you can't solve this in your head. c:
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)
10 cups (there are 4 cups in a quart, so 4+4+2)
5 pints (there are 2 pints in a quart, so 2+2+1)
Combine like terms (x's go with x's and y's go with y's) take the sign in from of the value and combine 8x+16x =24x and -9y+12y=3y (combine only works if the variables have the same exponent ( u can combine x and x(because they have an understood exponent of 1) but not x and x^3)
