Foundations Of Functions Test Review

Based on the scatterplot, we can see that as the number of hours spent studying increases, the test scores tend to increase as well. Since the student spends 26 hours studying, we can estimate that his test score would fall within the range of scores between 75 and 85.

The scatterplot shows a negative correlation between the weight of the vehicles and their gas mileage. As the weight of the vehicle decreases, the gas mileage tends to increase. This can be observed by the trend of the data points, where the lighter vehicles tend to have higher gas mileage. Therefore, the best interpretation of the scatterplot is that vehicles that weigh the least seem to have higher gas mileage.

The relationship between the amount of time I exercise and the calories that I burn is a positive correlation. This means that as the amount of time I exercise increases, the number of calories I burn also increases.

Based on the scatterplot, there is a positive linear relationship between test scores and hours of study. As the test score increases, the number of hours of study also tends to increase. Therefore, if the student wants to earn a test score of 95, they should expect to study approximately 40 hours based on the trend shown in the scatterplot.

The ordered pair (10, 0) means that if Shelby purchases 10 rib baskets, her gift card will be worth $0. This is because each rib basket costs $5 and Shelby's gift card has a value of $50. So, if she buys 10 rib baskets, she would have spent $50 and her gift card would have a remaining value of $0.

If Shelby purchased 15 rib baskets, the equation g = 50 - 5r can be used to calculate the remaining balance on her gift card. Plugging in r = 15, we get g = 50 - 5(15) = 50 - 75 = -25. This means that Shelby would have overspent by $25, as her gift card balance would be negative.

Based on the scatterplot, it can be observed that as the hours of study increase, the test scores also tend to increase. Therefore, to earn a test score of 90, a college student should expect to spend around 35 hours of study, as this is the approximate point on the scatterplot where the test score reaches 90.

The correct answer describes the domain as the time being from 0 to 10 hours and the range as the distance being from 0 to 600 miles. This means that the graph represents Abby's trip in terms of time (x-axis) and distance (y-axis). The x-axis represents the time she spent traveling, ranging from 0 to 10 hours, and the y-axis represents the distance she traveled, ranging from 0 to 600 miles.

The given relationship between the number of magazine subscriptions sold and the cost is discrete because the number of subscriptions can only take on whole number values and cannot be divided further. The relationship is not continuous because there are distinct, separate values represented on the graph.

The appropriate window settings for Austin's survey data would be x min = 50, x max = 75, y min = 0, y max = 15. These settings ensure that the x-axis ranges from 50 to 75, which covers the range of values for the data collected. The y-axis ranges from 0 to 15, which allows for a clear visualization of the data without cutting off any data points.

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The data for this scenario is continuous because Jason's bike ride is measured in miles per hour, which represents a continuous range of values.

The given equation represents the relationship between the amount of money left on the gift card (represented by the variable g) and the number of rib baskets purchased (represented by the variable r). It shows that as the number of rib baskets purchased increases, the amount of money remaining on the gift card decreases. Therefore, the statement "The number of rib baskets depends on the amount of money left on the gift card" is not true. The number of rib baskets purchased does not depend on the amount of money left on the gift card, but rather the other way around.