1. The answer would be true <span>Part A: Does the table represent y as a function of x? Justify your answer.
The function of x is "</span><span>fifth powers of x" which can be write as </span>f(x)= x^5 To determine whether the y represent f(x), you can try to put a value of x into the function, then compare the value of f(x) with y. For x=1 and y=1 f(x)= x^5 f(1)= 1^5 f(1)= 1 = y
For x=2 and y=32 f(x)= x^5 f(2)= 2^5 f(2)= 32 = y
2. <span>What is the value of f(4) and what does f(4) represent? The f(4) means putting 4 as the x value. In the function, the f(x) represent price </span>for renting a bowling lane and the variable x represent the number of hours. Then f(4) represent the price for renting a bowling lane for 4 hours. The value would be: <span>f(x) = 2x + 12 </span><span>f(4) = 2(4) + 12 f(4)= 8+12= $20</span>
The slope of the red line is 5. The correct answer is option B. 5
Two parallel lines, always have the same slope. Since the green and red line are parallels and the green line has slope 5, the slope of the red line is also 5.