The equation that represents the total number of days she can travel is $410 ≥ $75.50d + $31.50 .
Total pay ≥ (charge per day x total number of days) + (cost per mile x total mile driven)
$410 ≥ ($75.70 x d) + ($0.07 x 450)
$410 ≥ $75.50d + $31.50
Given the above equation, take the following steps:
Combine similar terms
$410 - $31.50 ≥ $75.50
$378.50 ≥ $75.50d
Divide both sides by 75.50
d ≥ 5
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