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Agata [3.3K]
3 years ago
12

Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather

, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.
Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (2,13090)

y = 1812.5x + 4027.5

y_0 = 4027.5 --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (5,13090)

Next, we calculate the slope (m) using:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{13090 - 5840}{5 - 1}

m = \frac{7250}{4}

m = 1812.5

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 1812.5(x - 1) + 5840

y = 1812.5x - 1812.5 + 5840

y = 1812.5x + 4027.5

To calculate the y intercept, substitute 0 for x

y_0 = 1812.5*0 + 4027.5

y_0 = 0 + 4027.5

y_0 = 4027.5

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