Q:

Your club is ordering enrollment gifts engraved with your club logo. Keychains cost $5 each. Wristbands cost $2 each. You have a budget of $100 for the gifts. The equation 5x+2y=$100 models the total cost, where x is the number of key chains and y is the number of wristbands

Accepted Solution

A:
Answer:Part A) The y-intercept is the point (0,50) and the x-intercept is the point (20,0)The graph in the attached figurePart B) The club can order 5 wristbandsStep-by-step explanation:The questions areA. Graph the equation. Intercepts. B. Your club decides to order 18 key chains. How many wristbands can you order?   Part A) Graph the equation. Intercepts. Letx -----> is the number of key chainsy -----> is the number of wristbandswe have The equation that model the total cost is [tex]5x+2y=100[/tex]To graph the line, find out the intercepts firstFind out the y-interceptThe y-intercept is the value of y when the value of x is equal to zeroFor x=0substitute in the linear equation and solve for y[tex]5(0)+2y=100[/tex][tex]2y=100[/tex][tex]y=50[/tex]The y-intercept is the point (0,50)Find out the x-interceptThe x-intercept is the value of x when the value of y is equal to zeroFor y=0substitute in the linear equation and solve for x[tex]5x+2(0)=100[/tex][tex]5x=100[/tex][tex]x=20[/tex]The x-intercept is the point (20,0)To graph the line, plot the intercepts ad join the pointssee the attached figurePart B) Your club decides to order 18 key chains. How many wristbands can you order?Remember thatx -----> is the number of key chainsy -----> is the number of wristbandssowe haveFor x=18Substitute in the equation the value of x and solve for y[tex]5(18)+2y=100[/tex][tex]90+2y=100[/tex]subtract 90 both sides[tex]2y=100-90[/tex][tex]2y=10[/tex]divide by 2 both sides[tex]y=5[/tex]thereforeThe club can order 5 wristbands