Which expression is equivalent to?
1 answer:
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To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.
4 = 3/4 + b
b = 13/4
That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).
The graph looks like this:
Answer:
a = 5120
b = 1.25
Step-by-step explanation:
Let the exponential function representing the given table is,
f(x) =
Here, f(x) = Number of views
x = Number of weeks
We choose two points from the given table and satisfy the equation of the function.
Let the points are (0, 5120) and (1, 6400)
For a point (0, 5120),
f(0) = a(b)⁰ = 5120
a = 5120
Now for the second point (1, 6400),
6400 = 5120(b)¹
b =
b = 1.25
Therefore, a = 5120 and b = 1.25 are the values.