1. The function that models this equation is:
Since the value V (x) of the copier depreciates over
time, hence the 500 must be negative, therefore the equation:
V(x) = −500x + 4800
2. The rate of change for the function is:
The rate of change is also equivalent to the slope of the
equation, in this case the slope is equal to:
-$500/1 year
3. The model predicts that the value of the copier after
3 years will be:
Substituting the value of x = 3 to the function gives us:
V(x) = −500 (3) + 4800
V(x) = $3,300
4. The model predicts that the value of the copier after
7 years will be:
Substituting the value of x = 7 to the function gives us:
V(x) = −500 (7) + 4800
V(x) = $1,300
We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference
10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7
Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.
Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,
To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
We will just do the following steps:-
389 - 40 = 349
349 - 30 = 319
So, in the end your class had 319 milk jugs left.
Hope I helped ya!!
<span>There are 6 grams of fat per serving in granola. </span>
<span>Each serving provides 180 calories. </span>
<span>There are 9 calories of fat in each gram. </span>
<span>The percentage of calories from fat in granola is? </span>
<span>
30% </span>
