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

Answer:

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;

$x = -\frac{7}{4}$

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:  

$-\frac{7}{4}$ and 70