Question

select the correct answer from each drop down menu. let d(t) be the total number of miles joanne has cycled, and let t represent the number of hours before stopping for a break during her ride. d(t) = 12t + 20 so, d(4) = dropdown. this means that after dropdown, joanne dropdown.

Explanation:

Step1: Substitute t = 4 into d(t)

We have the function \( d(t)=12t + 20 \). To find \( d(4) \), we substitute \( t = 4 \) into the function. So we calculate \( 12\times4+20 \).

Step2: Calculate the value

First, calculate \( 12\times4 = 48 \). Then add 20 to it: \( 48+20=68 \). So \( d(4) = 68 \). This means that after 4 hours (since \( t \) represents the number of hours before stopping for a break), Joanne has cycled \( d(4)=68 \) miles.

Answer:

For \( d(4) \), we substitute \( t = 4 \) into \( d(t)=12t + 20 \):
\( d(4)=12\times4 + 20=48 + 20 = 68 \)
So \( d(4)=\boldsymbol{68} \). This means that after \(\boldsymbol{4}\) hours, Joanne has cycled \(\boldsymbol{68}\) miles.