1. A virus LAČEN has settled on our computer. With each mouse click, the virus occupies an additional $0.5 \mathrm{MB}$ of space. Write a function that represents the spread of the virus. After how many clicks will the virus occupy $2.5 \cdot 10^{3}$ MB of space? Write your answer.
1. We determine that the spread of the virus represents a linear function for natural numbers, where $k=0.5$. Thus, the equation of the function is $y=0.5 x$. The answer to the second question is derived from the final calculation:

1 click.......... $0.5 \mathrm{MB}$

$x$ clicks........... $2.5 \cdot 10^{3} \mathrm{MB}$.

We calculate $x=\frac{2.5 \cdot 10^{3}}{0.5}=5 \cdot 10^{3}$.

The equation of the linear function for linear growth $y=k x+n \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$ point

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-08.jpg?height=54&width=1642&top_left_y=698&top_left_x=207)

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-08.jpg?height=51&width=1642&top_left_y=751&top_left_x=204)

Setting up the final calculation:

1 click.......... $0.5 \mathrm{MB}$

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-08.jpg?height=57&width=1639&top_left_y=894&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-08.jpg?height=75&width=1642&top_left_y=939&top_left_x=207)

Writing the answer ......................................................................................................