Question

What’s the y and c intercept

Answer 1

x - intercept; (80, 0)

y - intercept; (0, ∞)

Explanation:

Let Week be w and Amount be A;

We see an inverse proportionality;

`{ \rm{w \: \alpha \: (1)/(A ) }} \\ \\ { \rm{w = (m)/(A) }}`

m is a constant of proportionality;

When w is 1, A = 68

`{ \rm{ 1 = (m)/(68) }} \\ \\ { \rm{m = 68}}`

Therefore;

`{ \tt{w = (68)/(A) + c }} \\`

c is a constant;

When w is 0, A is 80

`{ \rm{0 = (68)/(80) + c}} \\ \\ { \rm{c = - (17)/(20) }}`

Overall equation:

`{ \rm{y = (68)/(x) + (17)/(20) }} \\`

For x-intercept, y = 0

`{ \rm{ (17)/(20) = (68)/(x) }} \\ \\ { \rm{x = 80}}`

For y-intercept, x = 0

y = ∞