ID Valerie is comparing the costs of block and shredded cheeses.The cost of 8 ounces of shredded cheese is 3.00 Part A The cost of block cheese is shown in the graph. Graph the line that models the cost of shredded cheese in the graph below. Part B Write an equation for the line representing the cost of the shredded cheese. __ Part C Valerie purchases 16 ounces of the less expensive cheese How much does she pay for the cheese?

Part A: Graph the line that models the cost of shredded cheeseTo graph the line that models the cost of shredded cheese, we need to plot the given point (8, 3) on the graph and draw a line through it that starts from the origin (0, 0), since the cost is We know that the line passes through (0, 0) and (8, 3), so: Now, we can use the point-slope form of the equation of a line, which is: Where \( (x_1, y_1) \) is a point on the line and is the slope. Using the point (8, 3) and the slope , the equation is: To simplify and write it in slope-intercept form (y = mx + b), we distribute the slope and solve for y: So, the equation for the line representing the cost of shredded cheese is: Part C: Valerie purchases 16 ounces of the less expensive cheese. How much does she pay for the cheese?To determine which cheese is less expensive, we need to compare the cost of 16 ounces of block cheese to the cost of 16 ounces of shredded cheese.For block cheese, we use the graph's line equation. The graph shows a line passing through (0,0) and (20,7), so we can calculate the slope of this line: The equation for the block cheese line is: Now, let's calculate the cost for 16 ounces of block cheese: So, 16 ounces of block cheese costs $5.60.Now, let's calculate the cost for 16 ounces of shredded cheese using its equation: So, 16 ounces of shredded cheese costs 5.60 for 16 ounces compared to shredded cheese at 5.60 for 16 ounces of the less expensive cheese, which is the block cheese.