SAT Question 8637294f: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

0625$.I{t}^{\prime }sgiventhat$\frac{4 a}{b} = 6.7$and$\frac{a}{b n} = 26.8$.Theequation$\frac{4 a}{b} = 6.7$canberewrittenas$\left( 4 \right) \left( \frac{a}{b} \right) = 6.7$.Dividingbothsidesofthisequationby＄4$ yields $\frac{a}{b}=1.675$. The equation $\frac{a}{bn}=26.8$ can be rewritten as $\left(\frac{a}{b}\right)\left(\frac{1}{n}\right)=26.8$. Substituting ＄1.675$for$\frac{a}{b}$inthisequationyields$\left( 1.675 \right) \left( \frac{1}{n} \right) = 26.8$,or$\frac{1.675}{n} = 26.8$.Multiplyingbothsidesofthisequationby$n$yields$1.675 = 26.8 n$.Dividingbothsidesofthisequationby＄26.8$ yields $n=0.0625$. Therefore, the value of $n$ is $0.0625$. Note that 1/16, .0625, 0.062, and 0.063 are examples of ways to enter a correct answer.