Answer:
![\sf k = 1 \\\\ \sf y = x](https://tex.z-dn.net/?f=%20%5Csf%20k%20%3D%201%20%5C%5C%5C%5C%20%5Csf%20y%20%3D%20x%20)
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 ,
- 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 }}}](https://tex.z-dn.net/?f=%5Csf%5Cimplies%205%20%3D%20k%285%29%20%5C%5C%5C%5C%5Csf%20%20%5Cimplies%20%20k%20%3D%5Cdfrac%7B5%7D%7B5%7D%5C%5C%5C%5C%5Csf%20%20%5Cimplies%20%5Cboxed%7B%5Cfrak%7B%5Cpink%7B%20k%20%3D%201%20%7D%7D%7D)
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 }}}](https://tex.z-dn.net/?f=%5Csf%5Cimplies%20y%20%3D%20mx%20%2B%20c%20%5C%5C%5C%5C%5Csf%20%20%5Cimplies%20%20y%20%3D%201%28x%29%20%2B%200%20%5C%5C%5C%5C%5Csf%20%20%5Cimplies%20%5Cboxed%7B%5Cpink%7B%5Cfrak%7B%20y%20%3D%20x%20%7D%7D%7D)
If she got a 100 on her last test the highest her average would be is an 87%
3/5x - 7 = 23
3/5x = 23 + 7
3/5x = 30
x = 30/(3/5)
x = 30 * 5/3
x = 150/3
x = 50 <==
=====================
3.50(2) + 5g = 42
7 + 5g = 42
5g = 42 - 7
5g = 35
g = 35/5
g = 7 <== each game costs $ 7
===================
150 = 5x + 75
===================
35 + 0.25x = 53.75
0.25x = 53.75 - 35
0.25x = 18.75
x = 18.75 / 0.25
x = 75 <===
===================
if one leg is 12.....and an isosceles triangle has 2 equal sides....(47 - 12) / 2 = 35/2 = 17.5 <==