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lori took a trip during her recent trip to NYC. They charged a flat rate of $2.50, plus an additional $3.00 per mile. Lori only has $20

lori took a trip during her recent trip to NYC. They charged a flat rate of $2.50, plus-example-1

1 Answer

4 votes
Answer is option #2) 3x + 2.50 ≤ 20

Step-by-step explanation
We know we can use slope intercept form
y = mx + b

m = 3.00 per mile, this is the rate or slope
b= 2.50, the y intercept or flat fee that doesn’t change
y = $20, the total she has to spen
≤ is less than or equal to sign because the amount has to be less than or equal to $20
We are looking for “x” the amount of miles

3.00x + 2.50 ≤ $20
Subtract 2.50 from each side to isolate the variable

3.00x + 2.50 - 2.50 ≤ $20 - 2.50
Simplify
3.00x ≤ $17.50
Divide both sides by 3.00 to solve x

3.00/3.00x ≤ 17.50 / 3.00

x ≤ 5.83 miles
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