Question

In 2012, the total student enrollment at Oxford University was 3976 undergraduate students. We also know that enrollment at Oxford grew during the decade 2010-2020 by an average of 133 students per year. This allows us to model the enrollment at Xavier over the time period 2010-2020. (a) What function is being described here? That is, what output variable y is being described as depending on what input variable x? Describe the two variables and identify the units in which the quantities are being measured. (b) Write down a linear equation that describes this relationship. (c) Use your equation to estimate the student enrollment at Xavier in 2020. The actual value for the Fall 2020 semester was 4517 students; how close to this is your estimate? In a certain city, the charge for commercial waste collection is $694.55 for 5 tons and $1098.32 for 8 tons. (a) Find the equation of a linear function that, based on these two values, gives the cost C of waste collection in dollars as a function of the weight w in tons. Then sketch a graph of the function for weights of up to 10 tons; label your axes appropriately. (b) What is the slope of this line? Report the number using appropriate units and interpret its meaning in the context of hauling this city's waste.

          In 2012, the total student enrollment at Oxford University was 3976 undergraduate students. We also know that enrollment at Oxford grew during the decade 2010-2020 by an average of 133 students per year. This allows us to model the enrollment at Xavier over the time period 2010-2020.

(a) What function is being described here? That is, what output variable y is being described as depending on what input variable x? Describe the two variables and identify the units in which the quantities are being measured.

(b) Write down a linear equation that describes this relationship.

(c) Use your equation to estimate the student enrollment at Xavier in 2020. The actual value for the Fall 2020 semester was 4517 students; how close to this is your estimate?

In a certain city, the charge for commercial waste collection is $694.55 for 5 tons and $1098.32 for 8 tons.

(a) Find the equation of a linear function that, based on these two values, gives the cost C of waste collection in dollars as a function of the weight w in tons. Then sketch a graph of the function for weights of up to 10 tons; label your axes appropriately.

(b) What is the slope of this line? Report the number using appropriate units and interpret its meaning in the context of hauling this city's waste.

Added by Teresa B.

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