The correct option is a. $1.75 + $0.25x ≤ $15; x < 53 miles.
The inequality that represents given situation is $1.75 + $0.25x ≤ $15.
<h3>What is inequalities?</h3>
An inequality compares the two values to determine if one is less than, larger than, or simply simply equal to the other.
- a ≠ b indicates that an is not equal to b.
- a < b indicates that an is less than b.
- The expression a > b indicates that an is greater than b. (those two are called as strict inequality)
- a ≤ b signifies that an is less than or equal to b.
- The expression a ≥ b denotes that an is greater than or equal to b.
Now for the given question;
A cab charges $1.75 for the flat fee.
And, the cab charges $0.25 for each mile.
Total amount spent by Eddie is 1$15.
So, first and foremost. Because you have to pay the fixed charge and then pay for x miles is $0.25.
Thus, (15-1.75) / 0.25 = 53.
Therefore, the inequalities which describes the given scenario is;
$1.75 + $0.25x ≤ $15
where, x < 53 miles.
To know more about the inequalities, here
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The correct question is-
A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.
a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles
b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles
c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles
d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles