$t=\frac{1}{4} p+2$ $\newline$ Ana uses the given equation to determine the number of hours, $t$ , to roast a $p$ -pound turkey. How many more minutes would it take Ana to roast a $13$ -pound turkey than a $12$ -pound turkey? $\newline$ Choose $1$ answer: $\newline$ (A) $2$ minutes $\newline$ (B) $4$ minutes $\newline$ (C) $15$ minutes $\newline$ (D) $60$ minutes

Full solution

t=\frac{1}{4} p+2

\newline

Ana uses the given equation to determine the number of hours,

t

, to roast a

p

-pound turkey. How many more minutes would it take Ana to roast a

13

-pound turkey than a

12

-pound turkey?

\newline

Choose

1

answer:

\newline

(A)

2

minutes

\newline

(B)

4

minutes

\newline

(C)

15

minutes

\newline

(D)

60

minutes

Plug in $p=12$ : First, plug in $p=12$ into the equation to find the time for a $12$ -pound turkey. $t=(\frac{1}{4})\cdot12+2$ .
Calculate time for $12$ -pound turkey: Calculate the time for a $12$ -pound turkey. $(1/4)\times 12=3$ , so $t=3+2=5$ hours.
Plug in $p=13$ : Now, plug in $p=13$ into the equation to find the time for a $13$ -pound turkey. $t=\frac{1}{4}\cdot13+2$ .
Calculate time for $13$ -pound turkey: Calculate the time for a $13$ -pound turkey. $(\frac{1}{4})\times 13=3.25$ , so $t=3.25+2=5.25$ hours.
Find time difference: Find the difference in time between roasting a $13$ -pound and a $12$ -pound turkey. $5.25$ hours - $5$ hours = $0.25$ hours.
Convert to minutes: Convert the difference in hours to minutes. $0.25$ hours $\times 60$ minutes/hour $= 15$ minutes.