A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost. What equation models the total cost as a function of the number of T-shirts ordered?

c(t) = 25 +12 * t

where t is the number of shirts

Step-by-step explanation:

The total cost for the shirts  is the flat fee plus the cost per shirt times 150 shirts

total = fee + cost per shirt* shirts

1825 = 25 +c*150  

 where c is the cost per shirt

We need to determine the cost per shirt by subtracting 25 from each side

1825-25 = 150c

1800 =150c

Divide by 150 on each side

1800/150 =150c/150

12 =c

Each shirt costs 12 dollars

We want to make the function in terms of cost per shirt

c(t) = 25 +12 * t

where t is the number of shirts

answer by yourhope:

hi! : )

a farmer that lived in ancient egypt would most likely be barried in the sand, in the desert!

: )

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.