Applied exercises: Linear functions

The National Aeronautics and Space Administration (NASA) is a huge space agency that can send rockets into space. For simplicity, we assume that a Rocket costs $\$\mathrm{500,000}$ (real rockets are much more expensive). Before sending rockets into space, the NASA has to build a launchpad at the costs of $\$1$ million.

(a) Calculate how much NASA spends in total when it launches 4, 6 or 10 rockets into space. Create a table of values from this.

(b) Set up a function that gives NASA's total costs $f(x)$ in $\$$ million as a function of the number of rockets $x$ that are launched into space.

(c) Visualize the relationship from (b) by a plot.

(d) How many rockets can NASA send into space with a budget of $\$10$ million.