In one town the annual consumption, b, of beef (in pounds per person) can be estimated by b = 32 -0.5t, where t is the number of years since 1975. Find and interpret the t-intercept of the graph of this function. OA. The t-intercept is 32 which means that, if this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2039. OB. The t-intercept is 64 which means that, if this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2039. OC. The t-intercept is 32 which means that the annual consumption of beef in this town was zero pounds per person in 1975. OD. The t-intercept is 64 which means that the annual consumption of beef in this town was 64 pounds per person in 1975.

Interpret the slope of the graph of y=f(x)

Members of a local band hold a bake sale to raise money. They sell their baked goods on blue and white paper plates. Each blue plate costs $5 and each white plate costs $3. The band raises $430 from their bake sale. Elise wants to sketch a graph of the linear function that relates the possible number of blue plates sold, x, to the possible number of white plates sold, y. Which THREE statements are TRUE regarding the graph that Elise will sketch? A) The graph will not have an x-intercept. B) The graph will decrease over its entire domain. C) The graph will show only x- and y-values that are positive. D) The graph will have an x-intercept of 86, the maximum possible number of blue plates sold. E) The graph will have a y-intercept of 143, the maximum possible number of white plates sold. F) The graph will show that as the number of white plates sold increases, so will the number of blue plates sold.

Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)

Write an equation for the function represented by the following graph: 0.667 n 1. n 1.667 n 2. n 2.667 n -2- -3 1. 2.

3. Determine if the data is linear or exponential and find a function that models the data: -4 -2 0. 2 4 y 0.625 2.5 10 40 160

Ms. Dawson’s call did a science experiment. The class started out with 635 bacteria cells. The growth rate predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work on how you obtained your second value. Round to the nearest whole number.