Observe the table:
\ Lisas temperature during an illness over a -day period.
a.
\Lisas temperature from on Monday to
on Monday. \ \
Find the average rate of change.
\Consider the table Lisas temperature on Monday is
and
on Monday is
.
.
(Formula for rate of change)
(Substitute
and
)
(Subtract:
)
(Simplify) \ \
The average rate of change in Lisas temperature is .
b.
\Lisas temperature from on Tuesday to
on Wednesday.
Find the sign of the rate mean. \ \
\Find the average rate of change.
\Consider the table Lisas temperature on Tuesday is
and
on Wednesday is
.
.
(Substitute
and
)
(Subtract:
)
(Simplify) \ \
The average rate of change from on Tuesday to
on Wednesday is
.
The answer is reasonable,Then the number should be negative because her temperature is dropping.
\c.
\During which period was the average rate of change in Lisas temperature the greatest.
The average rate of change in Lisas temperature was greatest during Monday to
is
.
a. The average rate of change in Lisas temperature is .
\
b. The average rate of change from on Tuesday to
on Wednesday is
.
c.
\The average rate of change in Lisas temperature was greatest during Monday to
is
.