The percentage of southern Australian grasshopper eggs that hatch as a function of temperature $($for temperatures between $7\backslash$deg C and $25\backslash$deg C$)$ can be modeled as

g$($t$)=0\mathrm{.}0065$t$4+0\mathrm{.}49$t$313$t$2+136\mathrm{.}3$t $394\%$

where t is the temperature in $\backslash$deg C$,$ data from $7<=$ t $<=25.$

$($a$)$ What temperature between $7\backslash$deg C and $25\backslash$deg C corresponds to the greatest percentage of eggs hatching? $($Round your answer to one decimal place.$)$

$9\mathrm{.}44$

Correct: Your answer is correct.

$\backslash$deg C

What is the percentage at this input? $($Round your answer to one decimal place.$)$

$94\mathrm{.}7$

Correct: Your answer is correct.

$\%$

$($b$)$ What temperature between $7\backslash$deg C and $25\backslash$deg C corresponds to the least percentage of eggs hatching?

Incorrect: Your answer is incorrect.

$\backslash$deg C

What is the percentage at this input? $($Round your answer to one decimal place.$)$

$5\mathrm{.}6875$

Correct: Your answer is correct.

$\%$