Question

Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? a. The domain of the function is {x | x is a real number greater than or equal to 0}. b. Benito increases the price after selling 50 shirts. c. The x-intercept represents the shirts he has to sell before making a profit. d. The y-intercept represents the cost of one T-shirt.

Answer 1

Answer:

a. The domain of the function is {x | x is a real number greater than or equal to 0}.

Step-by-step explanation:

The graph shows

1) the domain of the function {x | x is a real number greater than or equal to 0}

The domain of the function of the graph is obtained by the x - values which range from 0-11 . Thus they are equal or greater than zero.

2) the y- intercept shows the profit that is made by selling a certain number of shirts.

3) the x- intercept shows the number of shirts sold

4) Benito increases the price at least after the profit of $25 is made because we see from the graph that there is a loss of $10 if one shirt is sold separately and the dot on the eight appears around $ 25.

Only option a is true.

Answer 2

Graphs are used to show the relationship between related quantities.

From the given options, the true statement is:

c. The x-intercept represents the shirts he has to sell before making a profit.

From the given graph, we have the following observations.

1. The domain of the graph is $x \ge 2$

The corresponding y-values are negative for x = 0  and 1.

Because the graph represents the profit function, no value of x must correspond to a negative y-value.

Hence, (a) is false

2. It is impossible to say that his price increases, after selling 50 shirts

The y values show profit from shirts; not the price of shirts

Hence, (b) is false

3. The x-intercept indicates when he'll make a profit

The graph crosses the x-axis at x= 2.

This means that, he has to sell at least 2 shirts, before making a profit.

Hence, (c) is true

4. The y-intercept is the cost of 1 shirt

The y values show profit from shirts; not the price of shirts

Hence, (d) is false

Based on the above analysis, we can conclude that (c) is true

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