A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend. (2 points)
$0.50 + $1.50x ¡Ü $25; x ¡Ü 16 miles
$0.50 + $1.50x ¡Ý $25; x ¡Ý 16 miles
$1.50 + $0.50x ¡Ü $25; x ¡Ü 47 miles
$1.50 + $0.50x ¡Ý $25; x ¡Ý 47miles
is it c pls help me
Yes, you are correct. The correct answer is C.
To solve this problem, we need to write an inequality that represents the situation.
Let's break down the charges:
- The first mile costs $1.50.
- Each additional mile costs $0.50.
Let's assume Sharon can travel 'x' miles. The cost of the first mile will be $1.50, and for each additional mile, it will be $0.50 * (x-1) since we are excluding the first mile.
So, the total cost can be represented as:
$1.50 + $0.50 * (x-1)
We know that Sharon has $25 to spend, so the inequality will be:
$1.50 + $0.50 * (x-1) ≤ $25
Simplifying the inequality:
$1.50 + $0.50x - $0.50 ≤ $25
$1.50 + $0.50x ≤ $25
$0.50x ≤ $25 - $1.50
$0.50x ≤ $23.50
x ≤ $23.50 / $0.50
x ≤ 47
This shows that Sharon can travel a maximum of 47 miles if she has $25 to spend. Therefore, the correct answer is C.
Yes, you are correct. The correct inequality is $1.50 + $0.50x ≤ $25, which simplifies to $0.50x ≤ $23.50. By dividing both sides of the inequality by $0.50, we get x ≤ 47. Therefore, Sharon can travel up to 47 miles if she has $25 to spend. So the correct answer is option C: $1.50 + $0.50x ≤ $25; x ≤ 47 miles. Well done!
It would help if you proofread your questions before you posted them. I have no idea of the meaning of some of your symbols.
1.50 + .50x = 25
Except for Y and U symbols, the last two choices seem identical.