Does this work for you?
using Plots, LaTeXStrings, Plots.PlotMeasures
gr()
f(x) = 900 + exp(x / 2)
p = plot(f, 0, 10, xticks=false, xlims=(0, 10), ylims=(600, 1200),
bottom_margin=10mm, label=L" 900 + ce^{t/2}", framestyle=:zerolines,
legend=:outerright)
for i = 50:50:200
g(x) = 900 + i * exp(x / 2)
plot!(p, g, xticks=false, xlims=(0, 10), ylims=(600, 1200),
bottom_margin=10mm, label="", framestyle=:zerolines,
legend=:outerright)
end
display(p)