Question 18M.3.SL.TZ2.12a

use of gradient or any coordinate pair to find H₀ «= $\frac{v}{d}$» or $\frac{1}{H_0}$ «= $\frac{d}{v}$»

convert Mpc to m and km to m «for example $\frac{82\times {10}^3}{{10}^6\times 3.26\times 9.46\times {10}^{15}}$»

age of universe «= $\frac{1}{H_0}$» = 3.8 × 10¹⁷ «s»

Allow final answers between

3.7 × 10¹⁷ and 3.9 × 10¹⁷ «s» or 4 × 10¹⁷ «s»

[3 marks]