Question

For a house call, a veterinarian charges $70, plus $40 an hour. A. Write an equation that represents the total fee y y (in dollars) the veterinarian charges for a visit lasting x x hours. Equation: y= y= no response given b. Find the x-intercept. X-intercept:

Answer 1

Let x represents the hours and y represents the total fees(in dollars)

As per the statement:

(a)

For a house call, a veterinarian charges $70, plus $40 an hour

"$40 an hour" means 40x

then;

the equation we get;

`y = 40x + 70` .....[1]

(b).

Find the x-intercept.

x-intercept states that the graph cross the x-axis.

Substitute y = 0 in the equation and solve for x;

we get;

`x = -(7)/(4)`

y-intercept states that the graph crosses the y-axis i.e

Substitute x= 0 in the equation and solve for y;

`y =70`

Therefore, x-intercept and y-intercept of equation [1] are:

`-(7)/(4)` and 70