1. **Stating the problem:** We want to understand the relationship between the time spent at the theme park (in hours) and the amount of money spent (in pounds). The scatter plot suggests a positive linear relationship. 2. **Formula used:** For linear relationships, we use the equation of a line: $$y = mx + b$$ where $y$ is the amount spent, $x$ is the time at the theme park, $m$ is the slope (rate of change), and $b$ is the y-intercept (amount spent when time is zero). 3. **Estimating the slope $m$:** From the scatter plot, when $x=0$, $y \approx 5$ (the intercept). When $x=7.5$, $y \approx 50$. Slope $m = \frac{\Delta y}{\Delta x} = \frac{50 - 5}{7.5 - 0} = \frac{45}{7.5} = 6$. 4. **Equation of the line:** $$y = 6x + 5$$ This means for every additional hour spent, the amount spent increases by about 6 pounds, starting from 5 pounds at zero hours. 5. **Interpretation:** The linear model fits the data approximately, showing a steady increase in spending with time. Final answer: The approximate linear relationship is $$y = 6x + 5$$ where $y$ is amount spent and $x$ is time in hours.