You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

Question:

a. Graph the equation.

b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.

See attachment for graph

12 long-sleeved shirts

Step-by-step explanation:

Given

Plotting the graph:

Set x = 0

--- divide through by 12

Set x = 0

--- divide through by 10

So, the graph will be plotted using: (0, 25) and (30, 0)

See attachment for graph

Determine y when x = 12

--- collect like terms

-- solve for y

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.