Question

3.8.3 quiz: two - variable systems of inequalities
question 2 of 10
johanna will plant up to 32 acres on her farm with wheat and corn. fewer than 11 acres will be planted with wheat.
let w represent the number of acres of wheat and c represent the number of acres of corn. identify two inequalities that represent this situation.
a. $w - c\leq32$
b. $w < 11$
c. $c > 11$
d. $w + c\leq32$

Explanation:

Step1: Analyze the total acres

The total acres of wheat (\(w\)) and corn (\(c\)) is up to 32, so \(w + c\leq32\). This matches option D.

Step2: Analyze wheat acres

Fewer than 11 acres of wheat, so \(w < 11\). This matches option B.

Answer:

B. \(w < 11\), D. \(w + c\leq32\)