Write the equation for the following situation: In one U.S. town, the annual consumption, b, of beef (in kg per person) can be estimated by adding 20 to half the years, t, since 1975.
Then graph the equation and use the graph to determine the beef consumption in the year 1989.
To write the equation for this situation, we need to break down the given information:
- The annual consumption of beef, denoted as b (in kg per person)
- The number of years since 1975, denoted as t
According to the given situation, the equation for estimating the annual beef consumption can be obtained by adding 20 to half the number of years since 1975.
So, the equation can be written as:
b = 20 + (1/2)t
To determine the beef consumption in the year 1989, we need to substitute the value of t (which corresponds to the number of years since 1975) with the year 1989.
Calculating the value of t:
t = 1989 - 1975 = 14 years
Now let's substitute t = 14 into the equation:
b = 20 + (1/2)(14)
b = 20 + 7
b = 27
Therefore, the beef consumption in the year 1989 was approximately 27 kg per person.
To graph this equation, you can plot values of t on the x-axis and b on the y-axis. You can choose several values for t to create multiple points and then draw a line connecting those points. The line represents the relationship between the number of years since 1975 and the estimated beef consumption per person.