Question

Your club is ordering enrollments gifts engraved with your club logo. Key chains cost $5 each. Wristbands cost $2 each. You have a budget of $150 for the gifts. The equation 5x+2y=150 models the total cost, where x is the number of key chains and y is the number of wristbands.

Answer 1

Missing Part

A) Determine the x and y intercepts

B) Graph in the attached figure

Answer:

x intercept: (30, 0)

y intercept: (0, 75)

Step-by-step explanation:

Given

$5x + 2y = 150$

Solving (a): The intercepts

To calculate x intercept, we have:

$y = 0$

Substitute 0 for y in $5x + 2y = 150$

$5x + 2*0 = 150$

$5x = 150$

Solve for x

$x = 150/5$

$x = 30$

This implies: (30, 0)

To calculate y intercept, we have:

$x = 0$

Substitute 0 for x in $5x + 2y = 150$

$5*0 + 2y = 150$

$2y = 150$

Solve for y

$y = 150/2$

$y = 75$

This implies: (0, 75)

Solving (b): The graph

The graph will be plotted through: (30, 0) and (0, 75)