Question

-.At a fair hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of hamburgers and hot dog a family can buy with $30 a. b.

Answer 1

Answer:

Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)

The graph in the attached figure

Part b) See the procedure

Step-by-step explanation:

The questions are

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

Part a) Find the intercepts and graph the function

Let

x-----> the number of hamburgers

y ----> the number of hot dogs

we have

$3x+1.5y=30$

Remember that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$3(0)+1.5y=30$

$1.5y=30$

$y=20\ hot\ dogs$

The y-intercept is the point (0,20)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$3x+1.5(0)=30$

$3x=30$

$x=10\ hamburgers$

The x-intercept is the point (10,0)

Plot the intercepts and graph the line

see the attached figure

Part b) What does each intercept represent?

The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers