Answer :
The daily rent is an illustration of a linear inequality.
The inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
The daily charge is given as:
[tex]\mathbf{Daily = 75.77}[/tex]
The rate is:
[tex]\mathbf{Rate = 0.07}[/tex]
Let the number of days be d.
So, the total charges is:
[tex]\mathbf{Total = Daily \times d + Rate \times Miles}[/tex]
This gives
[tex]\mathbf{Total = 75.77 \times d + 0.07\times 325}[/tex]
[tex]\mathbf{Total = 75.77 \times d + 22.75}[/tex]
From the question, we understand that he has at most $340 to spend.
At most means <=
So, we have:
[tex]\mathbf{75.77 \times d + 22.75 \le 340}[/tex]
[tex]\mathbf{75.77d + 22.75 \le 340}[/tex]
Rewrite as:
[tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
Hence, the inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
Read more about linear inequalities at:
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