To determine which graph represents the relationship between the amount of salami purchased and its cost, we first need to calculate the price per pound using the information provided.
Jayson bought 112 pounds of salami for $3.75. Therefore, the cost per pound can be calculated as follows:
Cost per pound = Total cost / Total pounds = $3.75 / 112 = $0.0335 (approximately)
This means that for each pound of salami, Jayson pays approximately 3.35 cents.
Now, if we want to find a point that correlates with this information on a graph where the x-axis represents pounds and the y-axis represents cost in dollars, we can also express the cost in a simple proportional relationship (provided that it remains linear):
Cost = Price per pound x Weight
If we take a simpler reference, let's calculate the cost for a more manageable weight, such as 1 pound:
If 1 pound = $0.0335, then for multiple pounds, we have:
1 pound = $0.0335 2 pounds = $0.067 3 pounds = $0.1005 and so on.
Thus, for 112 pounds, the line would follow this relationship, but no option gives us 112 pounds on the graph; rather, we're looking for a graph that shows the plotted relationships based on the points given in each response:
Since the price Jayson paid ($3.75) for a corresponded weight would be essentially out of bounds for the options listed between 0 to 4 on the y-axis, we look for a point that matches $3.75.
Among the options given, we check for consistency with 3.75 for y-value and a corresponding amount for x-value in relation to a logical amount that he paid.
The option that shows the point left parenthesis 1.5 comma 3.75 right parenthesis suggests that for (1.5 pounds), he would pay ($3.75), which isn't possible based on the calculation although close, as it would be $0.05025 which is not accurate.
Similarly, left parenthesis 2 comma 3.75 right parenthesis at least presents another point that has $3.75, which also seems improbable but could indicate a misrepresentation of the graph scale with no accuracy to suggest a definitive graph representing Jayson’s purchase.
As all the points suggested provide faulty representations of the cost relationship when matching the values to pounds in the response options directly, the only potential correct response assuming it was inclusive would jump to left parenthesis 1.5 comma 3.75 right parenthesis however incorrect as Wells in price weight.
In conclusion, none of the options entirely accurately represent the relationship described in the problem for Jayson, but if you’re inclined to choose based on proximity then the most prominent would likely be “A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and a line starts at the origin and passes through plotted point left parenthesis 1.5 comma 3.75 right parenthesis.” while knowing it still does not represent the actual proper relationship of the given problem.
2 answers