Question

3. Elena is ordering dried chili peppers and corn husks for her cooking class. Chilipeppers cost $16.95 per pound and com husks cost $6.49 per pound. Elenaspends less than $50 ond pounds of dried chili peppers and h pounds of cornhusks. Here is a graph that represents this situation.Scorn husks (pounds)4682dried chilis (pounds)

Answer 1

SOLUTION

3.a. From the question, we can know that chilli pepper cost $16.95 per pound and corn cost $6.49 per pound, and she has to spend less than $50 on d chilli pepper and h corn,

This means that d represents pepper and h represents the corn, So we have

$\begin{gathered} (16.95\times d)+(6.49\times h)<50 \\ 16.95d+6.49h<50 \end{gathered}$

Hence the inequality that represents this is

$16.95d+6.49h<50$

3.b. Now from the equation, we have that

$\begin{gathered} 16.95d+6.49h<50 \\ so\text{ we will substitute d for 2 and h for 4} \end{gathered}$

If we get less than 50, then the answer is yes. We have

$\begin{gathered} 16.95d+6.49h \\ 16.95(2)+6.49(4) \\ 33.9+25.96 \\ 59.86\text{ } \end{gathered}$

Hence the answer is No because based on our calculation, she will spend $59.86 which is greater than $50.

3.c. We will again substitute 1.5 for d and 3 for h into the equation and see if we get less than 50, we have

$\begin{gathered} 16.95d+6.49h \\ 16.95(1.5)+6.49(3) \\ 25.425+19.47 \\ =44.895 \\ =44.90 \end{gathered}$

Hence the answer is YES because based on our calculation, she will spend $44.90 which is less than $50.