At a hardware store, a contractor buys x bags of concrete and a wheelbarrow. The function C(x) = 4.30x + 150 represents the total cost, in dollars. Which statement is true? A The cost of the wheelbarrow is $150, and 150 represents the slope of the function. B The cost of the wheelbarrow is $150, and 150 represents the y-intercept of the function. The cost of the wheelbarrow is $4.30, and 4.30 represents the slope of the function. D The cost of the wheelbarrow is $4.30, and 4.30 represents the y-intercept of the function.

The answer is B: The cost of the wheelbarrow is $150, and 150 represents the y-intercept of the function.

Step-by-step explanation:

Firstly, we have to understand that a line is given by y=mx+b, where m is the slope, b is the y-intercept and x and y are coordinates on the given graph. Because we are given the information that x represents the number of bags purchased, there must be a cost for each of the bags; this would be the 4.30 in the equation. The contractor is not buying any number of wheelbarrows, just one. That is given by the 150 that is added to the 4.30x.

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.