Question

PLEASE HELP ASAP MY HANDS E GETTING TIRED AND I NEED TO SLEEP e>e

Answer 1

Answer:

$\sf k = 1 \\\\ \sf y = x$

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 ,

$\sf \implies y \propto x \\\\\sf \implies y = kx$

• Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,

$\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}$

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 ,

$\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}$