37 = 2/3x - 1
37 + 1 = 2/3x
38 = 2/3x
38 / (2/3) = x
38 * 3/2 = x
114/2 = x
57 = x <=== when complete, the highway will be 57 miles
Part A:
Yes this is a function of x. Specifically the function is f(x) = x^2
The inputs (x) are squared to get the outputs (y).
For example,
f(x) = x^2
f(-3) = (-3)^2 <<--- input is x = -3
f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)
The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.
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Part B
Replace every x with 150 and then use the order of operations PEMDAS to simplify
f(x) = 20+3x
f(x) = 20+3*x
f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost
So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320
Answer:
Hello,
Answer A : 11.2 ≤ X ≤ 29.2
Step-by-step explanation:
