A cab charges $1.75 for the first mile and $0.25 for each additional mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend
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To determine how many miles Eddie can travel if he has $15 to spend, we need to create an inequality based on the given cab charges.
Let's denote the number of miles Eddie can travel as "m".
The cab charges $1.75 for the first mile, so Eddie will spend $1.75 for the first mile.
For each additional mile (m - 1), the cab charges $0.25. Therefore, Eddie will spend $0.25 multiplied by (m - 1) for each additional mile.
The total amount Eddie spends for the entire trip can be represented as:
1.75 + 0.25(m - 1)
We want to find the maximum value of "m" that satisfies the condition that Eddie has $15 to spend.
So, the inequality becomes:
1.75 + 0.25(m - 1) ≤ 15
Now, we can solve the inequality to find the maximum value of "m".
1.75 + 0.25(m - 1) ≤ 15
1.75 + 0.25m - 0.25 ≤ 15
1.75 + 0.25m ≤ 15 + 0.25
0.25m ≤ 15 - 1.75 + 0.25
0.25m ≤ 13.5
To solve for "m", we divide both sides of the inequality by 0.25:
m ≤ 13.5 / 0.25
m ≤ 54
Therefore, Eddie can travel up to 54 miles if he has $15 to spend.
$0.25+$1.75x>$15;x>8 miles
1.75 + 0.25x <= 15
0.25x <= 13.25
x <= 53