Interpreting linear functions — Basic example | Math | SAT | Khan Academy
Khan Academy SAT・2 minutes read
The equation tracks the yearly increase in the amount of money Massachusetts farmers paid to maintain their crops between 1991 and 2008, starting at $100 million in 1991 and increasing by $3.53 million each subsequent year.
Insights
- The equation showcases how Massachusetts farmers' expenses for crop maintenance rose steadily from $100 million in 1991, increasing by $3.53 million each subsequent year until 2008.
- The mathematical model highlights the incremental nature of the expenses, providing a clear representation of the consistent yearly growth in payments made by farmers over the 17-year period.
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Recent questions
How did Massachusetts farmers' crop maintenance costs change annually?
The cost for maintaining crops increased by $3.53 million each year between 1991 and 2008, with the initial payment in 1991 being $100 million and increasing by $3.53 million annually as t incremented by one each year. This steady increase in costs reflects the rising expenses associated with crop maintenance over the years, indicating a consistent upward trend in the financial investment required by farmers to sustain their crops.
What does the variable 'P' represent in the equation?
The variable 'P' in the equation represents the amount of money Massachusetts farmers paid to maintain their crops in millions of dollars. It serves as a quantitative measure of the financial expenditure incurred by farmers for crop maintenance purposes, with the value of 'P' indicating the total cost associated with sustaining agricultural activities within the specified time frame from 1991 to 2008.
How much did Massachusetts farmers pay for crop maintenance in 1991?
In 1991, Massachusetts farmers paid $100 million for crop maintenance. This initial payment marked the starting point for the financial investment required to sustain their crops, with subsequent years witnessing a consistent annual increase of $3.53 million in the amount paid. The $100 million expenditure in 1991 highlights the significant upfront cost incurred by farmers to support their agricultural operations at the beginning of the specified period.
What does the variable 't' represent in the equation?
The variable 't' in the equation represents the year within the time frame from 1991 to 2008. It serves as a chronological indicator of the progression of time, with each successive year corresponding to an incremental increase in the numerical value of 't'. By incorporating 't' into the equation, the model captures the temporal dimension of the data, enabling the analysis of how crop maintenance costs evolve over the specified period.
How did the annual increase in crop maintenance costs impact farmers?
The annual increase of $3.53 million in crop maintenance costs between 1991 and 2008 had a significant impact on Massachusetts farmers. As each year passed, the financial burden of sustaining their crops grew steadily, requiring farmers to allocate additional resources to meet the rising expenses associated with agricultural activities. This upward trend in costs underscored the challenges faced by farmers in managing their financial resources effectively to ensure the continued viability of their crop maintenance operations.
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Summary
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"Massachusetts Farmers' Crop Maintenance Costs 1991-2008"
- The equation models the amount of money Massachusetts farmers paid to maintain their crops between 1991 and 2008, with P representing the money paid in millions of dollars and t as the year. In 1991, when t is zero, farmers paid $100 million, with each subsequent year increasing the payment by $3.53 million annually.
- The cost for maintaining crops increased by $3.53 million each year between 1991 and 2008, with the initial payment in 1991 being $100 million and increasing by $3.53 million annually as t incremented by one each year.
