Find the 7th term of a geometric sequence with t1=5 and r = -2.
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Average rate of change=slope
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment
The cost for a party here is the base fee, plus charges for any additional guests.
So we know for a 15-person party, the price is going to be $100. That's a flat (constant) cost.
We know that for each additional person, we add $12. So for
more people, the cost is $
.
Since 100 is constant here, we make that our y-intercept. Even with no additional guests, the cost is still $100.
We add to write
. 12 is the constant rate of change (slope).
So we know for a 15-person party, the price is going to be $100. That's a flat (constant) cost.
We know that for each additional person, we add $12. So for
Since 100 is constant here, we make that our y-intercept. Even with no additional guests, the cost is still $100.
We add to write