Answer:
[tex] \sf k = 1 \\\\ \sf y = x [/tex]
Step-by-step explanation:
A graph between the amount of time that backpacker hikes to the distance travelled is given .
- We need to find the constant of proportionality and the equation of the relationship .
According to the Question ,
[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]
- Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,
[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]
Again the constant of proportionality is the slope of the line.
- Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,
[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]
