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Jess will plant up to 27 acres on her farm with wheat and corn. More than 5 acres will be planted with wheat.

Let [tex]\( w \)[/tex] represent the number of acres of wheat and [tex]\( c \)[/tex] represent the number of acres of corn. Identify two inequalities that represent this situation.

A. [tex]\( c \ \textless \ 5 \)[/tex]

B. [tex]\( w - c \leq 27 \)[/tex]

C. [tex]\( w + c \leq 27 \)[/tex]

D. [tex]\( w \ \textgreater \ 5 \)[/tex]

Sagot :

GinnyAnswer
To solve this problem, we need to identify the two inequalities that represent the given constraints on Jess's planting of wheat and corn.

1. Total Acres Constraint:
Jess will plant up to 27 acres on her farm with wheat and corn. This means the total number of acres planted with wheat and corn together cannot exceed 27 acres. Mathematically, this can be written as:
[tex]\[ w + c \leq 27 \][/tex]
So, one of the inequalities is:
[tex]\[ C. \quad w + c \leq 27 \][/tex]

2. Minimum Wheat Constraint:
Jess will plant more than 5 acres with wheat. This means the number of acres planted with wheat must be greater than 5. Mathematically, this can be written as:
[tex]\[ w > 5 \][/tex]
Hence, the second inequality is:
[tex]\[ D. \quad w > 5 \][/tex]

So, the two correct inequalities that represent this situation are:
[tex]\[ C. \quad w + c \leq 27 \][/tex]
[tex]\[ D. \quad w > 5 \][/tex]
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