When the Senior class decided to order T-shirts, they were quoted a price of $7.50 per shirt plus a setup fee. The total cost for 300 shirts was $2,450. Write an equation in the form y = mx + b that represents the cost, y, for x shirts.

Question

When the Senior class decided to order T-shirts, they were quoted a price of $7.50 per shirt plus a setup fee. The total cost for 300 shirts was $2,450. Write an equation in the form y = mx + b that represents the cost, y, for x shirts.

Answer 1

Here

m=7.50 / shirt
b=set-up fee
Since we know that
2450=7.5(300)+b
=>
b=2450-7.50*300
=2450-2250
=200

So
y=7.50x+200

Answer 2

Write an equation in the form y = mx + b for the line that passes through the point(-5, -1) and has a slope of -2.

Answer 3

To write an equation in the form y = mx + b that represents the cost, y, for x shirts, we need to determine the values for m and b.

Given that the price per shirt is $7.50, we can represent the per-shirt cost as 7.50x.

Now, we need to find the value of the setup fee, which is the constant term in the equation.

According to the given information, the total cost for 300 shirts was $2,450. We can write this as an equation:

7.50x + setup fee = 2450

Since every order has a setup fee, it remains constant regardless of the number of shirts. Therefore, the setup fee is represented by the constant term b in the equation.

The equation in the required form, y = mx + b, for the cost y of x shirts is:

y = 7.50x + b

To find the value of b, we substitute the values given in the problem:

7.50(300) + b = 2450

2250 + b = 2450

b = 2450 - 2250

b = 200

Thus, the equation is:

y = 7.50x + 200

Answer 4

To write an equation in the form y = mx + b that represents the cost, y, for x shirts, we need to determine the values of m and b.

We know that the Senior class was quoted a price of $7.50 per shirt plus a setup fee. Let's start by finding the cost per shirt and then consider the setup fee separately.

The cost per shirt, which is m in the equation, is $7.50. Since the equation is y = mx + b, we can write the equation so far as:
y = 7.50x + b

Now, let's focus on the setup fee. We are given the total cost for 300 shirts, which is $2,450. This means that when x = 300, y = 2,450. We can substitute these values into the equation to find b.

2,450 = 7.50 * 300 + b

Next, we solve this equation to find the value of b.

2,450 = 2,250 + b
b = 2,450 - 2,250
b = 200

Now we have the values of m and b, so we can write the equation in the form y = mx + b.

Therefore, the equation that represents the cost, y, for x shirts is:
y = 7.50x + 200