Step-by-step explanation:
[tex]1) \: \\ slope \: (m)= \frac{28 - 20}{3 - 2} = \frac{8}{1} = 8 \\ \\ let \: c \: be \: the \: cost \: and \: x \: be \: the \: number \\ of \: people \\ hcf \: of \: 20 \: and \: 28 = 4 \\ \therefore y - intercept \: (b) = 4 \\ \therefore \: c = mx + b \\ \huge \red{ \boxed{\therefore \: c = 8x + 4 }}\\ this \: is \: the \: equation \: in \: slope \: intercept \\ \: form. \\ \\ b) \\ at \: x = 1 \\ c = 8 \times 1 + 4 = \$ \: 12 \\ hence \: it \: will \: cost \: \$ 12 \: for \: an \\ individual \\ \\c) \\ at \: c = \$ 100 \\ 100 = 8x + 4 \\ 8x = 100 - 4 \\ 8x = 96 \\ x = \frac{96}{8} \\ x = 12 \\ hence \: 12 \: persons \: can \: enter \: the \\ \: museum \: for \: \$ 100 .[/tex]
