Question

compute the difference quotient of the given function

Q(t)=4-7t

Answer 1

difference quotient is :
\[\huge \frac{Q(t+h)-Q(t)}{h} \]

so, give me the expression for Q(t+h)....

Answer 2

f(x+h)=4-7(x+h)=4-7x+7h

Answer 3

ok, it should be 4 - 7x - 7h, right? also, let's stick with the variable t:
\[\large \huge \frac{Q(t+h)-Q(t)}{h}=\frac{(4-7t-7h)-(4-7t)}{h} \]
can you simplify the top?

Answer 4

yea... 4-7x+7h-(4-7t)

Answer 5

is that the top? shouldn't it be -7h?

Answer 6

yesss and yeah thats what I meant

Answer 7

\(\large \frac{Q(t+h)-Q(t)}{h}=\frac{(4-7t-7h)-(4-7t)}{h}=\frac{4-7t-7h-4+7t}{h} \)
\(\large =\frac{\cancel4\cancel{-7t}-7h\cancel{-4} \cancel{+7t}}{h}=\frac{-7h}{h} \) \)

Answer 8

=....???

Answer 9

still need help?

Answer 10

yessss

Answer 11

is it -7??

Answer 12

yes....

Answer 13

and, btw, i usually follow up on the question i help with but if by chance i forget, you can always tag the helper by putting a "@" sign and their name... this will call them back to the question... like this:
@jessiedeee

Answer 14

ok thankyou @dpaInc