Answer:
Explanation:
I'm pleased Jake wrote his function, but it seems perhaps a bit incomplete. Did he mean to write: f (t) = -2 + 342 - 4t ? The term (-2 + 342) seems redundant since it could have been written simply as +340.
We'll assume that this is indeed the function he wanted, but let's simplify it to:
f(t) = -4t + 340
This function describes a straight line with a negative slope of -4, and a y-intercept at 340.
The attached graph shows this function.
We can either find the values of f(t) on the graph, or calculate them by solving the equation. We'll do both.
Graphing
See the attached graph. The line slope downward to the right (slope of -4) and it intersects the y axis at 340 (the value of y when x=0. Several other values of x were selected and found on the graph, as noted.
t f(t)
0 340
60 100
120 -140
140 -220
Mathematically
Enter the chosen value of t into the equation and calculate f(t). We get the same results as above.
There is no table to complete, but this process can be used to fill it in.