A bakery is planning exactly how much dough its overnight shift should prepare each morning, and models the number of loaves, \(L\), it can bake from one ba...
Question 1 Report
A bakery is planning exactly how much dough its overnight shift should prepare each morning, and models the number of loaves, \(L\), it can bake from one batch of dough using \(L = 3n^2 - 5\), where \(n\) is the number of trays used. One batch produced \(43\) loaves.
Find the value of \(n\). (3)
Answer Details
Setting the given model equal to the known number of loaves produces a quadratic equation in \(n\); solving it by isolating \(n^2\) and taking a square root gives two possible roots, of which only the positive one makes sense as a number of trays.
\(3n^2-5=43\), so \(3n^2=48\) [1 mark]
\(n^2=16\) [1 mark]
\(n=4\), rejecting \(n=-4\) since \(n\) is a number of trays and cannot be negative. [1 mark]
Download The App On Google Playstore
Everything you need to excel in your exams
