To represent the number of grills sold, \( y \), as a function of the number of years, \( x \), after 2020 with an expected increase of 3% each year, you can use the following exponential growth formula:
\[ y = y_0 \cdot (1 + r)^x \]
where:
- \( y_0 \) is the initial number of grills sold in 2020,
- \( r \) is the growth rate (in decimal form),
- \( x \) is the number of years after 2020.
In this case, the growth rate \( r \) is 3%, which is \( 0.03 \) in decimal form. So the equation becomes:
\[ y = y_0 \cdot (1 + 0.03)^x \]
or simplified,
\[ y = y_0 \cdot (1.03)^x \]
Here, \( y_0 \) would need to be replaced with the actual number of grills sold in 2020 to complete the equation. If, for example, 1000 grills were sold in 2020, the equation would be:
\[ y = 1000 \cdot (1.03)^x \]
This equation now represents the expected number of grills sold every year after 2020.