To find the sales when $4,265.00 is spent on advertising, we first need to convert the advertising expense into the units of \( X \) specified in the equation.
Given:
- Advertising \( X \) is measured in units of $100.
- Amount spent on advertising = $4,265.00.
Convert $4,265.00 to the units of \( X \):
\[ X = \frac{4,265.00}{100} = 42.65. \]
Now, we can plug \( X \) into the equation \( Y = 4.29 + 143.3X \):
\[ Y = 4.29 + 143.3(42.65). \]
Now calculate \( 143.3 \times 42.65 \):
\[ 143.3 \times 42.65 \approx 6,105.245. \]
Now add this to 4.29:
\[ Y = 4.29 + 6,105.245 \approx 6,109.535. \]
Thus, Sales \( Y \) is approximately \( 6,109.54 \) (in units of $1000.00). To convert this back to dollars, we multiply by 1,000:
\[ \text{Sales in dollars} = 6,109.54 \times 1,000 = 6,109,540.00. \]
Therefore, when $4,265.00 is spent on advertising, the sales amount is approximately $6,109,540.00.