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select the correct answer from each drop - down menu. let ( d(t) ) be t…

Question

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

Explanation:

Step1: Substitute \(t = 4\) into the function

Given \(d(t)=12t + 20\), when \(t = 4\), we have \(d(4)=12\times4+20\).
First, calculate \(12\times4 = 48\). Then \(d(4)=48 + 20\).

Step2: Calculate the sum

\(48+20=68\).

The function \(d(t)\) has the form \(y=mx + b\) (linear function), where \(m = 12\) (rate of change, miles per hour) and \(b = 20\) (initial value). When we find \(d(4)\), the input \(t\) represents the number of hours.

Answer:

\(d(4)=68\). This means that after \(4\) hours, Joanna has cycled \(68\) miles.