The slope-intercept form:
m - slope
b - y-intercept
<em>subtract x from both sides</em>
<em>change the signs</em>
It's a linear function.
We need only two points to plotting a graph.
We choose any three values of x and calculate y.
Answer:
y=0.79x+27
Step-by-step explanation:
y is total cost and 0.79is per mile cost last is 27
so is y=0.79x+27
Let us check the transformations. The first step is regarding the argument of the function, the -2x part. So, first of all, the minus sign implies that the function is reflected along the y-axis since f(x) is replaced with f(-x). However, cosx is symmetric along that axis so there is no change on the graph. Also, the 2 factor means that the function is compressed along the x-axis, since now f(2) corresponds to f(1) etc. (if we substitute 1 in the cos(2x), it is as if substituting 2 in the origninal function cosx). Finally, we have that the factor 3 in front of cos, implies that the function is dilated along the y-axis; the highs become 3 times higher and the lows 3 times low.
He's writing one paper every 3/4 of an hour
1/3: 15 minutes
2/3: 30 min
3/3: 45 minutes
Or, one paper every 45 minutes/ 3/4 of an hour
