Mathematics
Grade10
Easy
Question
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
which situation is correct when Selena has a certain number of rides?
Statement 1: If she has 22 rides for the month then the total cost is $ 30.5
Statement 2: If she has 26 rides for the month then the total cost is $ 25
- Only statement 1 is correct
- Only statement 2 is correct
- Both statements 1 & 2 are correct.
- Both statements 1 & 2 are wrong
Hint:
We simply follow the statements and try to build the functions accordingly with proper justification. We may need to recall the previous question's answer.
Recall, f(x) : {(1.25x + 3 , 1 ≤ x ≤ 25) , (x , x > 25)}
Then, we decide whether the statement is correct or not and thus, conclude with the final answer.
The correct answer is: Only statement 1 is correct
Step 1 of 2:
According to Statement 1: If she has 22 rides for the month then the total cost is $30.5
Now, as mentioned in the previous question, for 1 ≤ x ≤ 25, f(x) = 1.25x + 3
So, for x = 22 (<25), f(x) = 1.25x + 3 = (1.25 × 22) + 3 = $30.5
Step 2 of 2:
Again, according to Statement 2: If she has 26 rides for the month then the total cost is $25
as mentioned in the previous question, for x > 25, f(x) = x
So, for x = 26 (>25), f(x) = x = $26
Hence, only statement 1 is correct.
Final Answer:
The right choice is- d. Only statement 1 is correct
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