-.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:Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)The graph in the attached figurePart b) See the procedure Step-by-step explanation:The questions arePart a) Find the intercepts and graph the functionPart b) What does each intercept represent?Part a) Find the intercepts and graph the functionLetx-----> the number of hamburgersy ----> the number of hot dogswe have[tex]3x+1.5y=30[/tex]Remember thatThe y-intercept is the value of y when the value of x is equal to zerosoFor x=0[tex]3(0)+1.5y=30[/tex][tex]1.5y=30[/tex][tex]y=20\ hot\ dogs[/tex]The y-intercept is the point (0,20)The x-intercept is the value of x when the value of y is equal to zerosoFor y=0[tex]3x+1.5(0)=30[/tex][tex]3x=30[/tex][tex]x=10\ hamburgers[/tex]The x-intercept is the point (10,0)Plot the intercepts and graph the linesee the attached figurePart b) What does each intercept represent?The x-intercept is the number of hamburgers they can buy if they buy no hot dogsThe y-intercept is the number of hot dogs they can buy if they buy no hamburgers