Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.
Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8
Then set up the "point-slope form":
y - y0 = m * (x - x0)
You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.
x0 = 1
y0 = 10
Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)
The above equation will work fine for an answer, but let's go a step further and solve for y.
y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8
Answer:
commutative property of multiplication
Step-by-step explanation:
Answer:
Answer (a) is correct
Step-by-step explanation:
This is not the same function that was given to you in the problem.
As you have typed it, this function is linear. The one in the homework problem is exponential.
We will ignore the linear function h(t) = 0.32 - 0.5t.
We will focus on h(t) = 0.32 - 0.5^t.
If t = 0, then 0.5^t = 0.5 ^0 = 1, and so h(0) = 0.32 - 1 = -0.68 => (0, -0.68)
Continuing with a few other t values chosen at random:
h(1) = -0.18
h(2) = 0.07
Notice that h is increasing as x increases!
h(4) = 0.2575
and so on.
answer A is the correct one.
h(1) = 0.32 - 0.5^1 = 0.32 - 0.5 = -0.18
