SAT Math: Algebra

The population of a town is decreasing at a constant rate. Which of the following statements must be true about the slope of the linear relationship modeling this population change?

A company's profit is modeled by the equation $y = 15x - 300$, where $y$ is the profit and $x$ is the number of items sold. What is the significance of the y-intercept?

A line has a slope of 3 and passes through the point (2, 7). Which form of the equation is most useful for quickly seeing the slope and point?

A phone company charges a monthly fee plus a charge per call. If the y-intercept of the cost equation is $15, what does this represent?

A company's sales are tracked over two years. In year 1, they sold 1000 units, and in year 2, they sold 1200 units. Assuming a linear model, predict the sales in year 5 and assess the reliability of this prediction.

A car rental company charges a flat fee plus a rate per mile. If the flat fee is <math-inline>20 and the rate is </math-inline>0.50 per mile, what is the total cost for driving 100 miles?

Two cars are driving on the same highway. Car A's distance from the starting point can be modeled by $y = 60x + 10$, and Car B's distance is modeled by $y = 50x + 30$, where $y$ is the distance in miles and $x$ is the time in hours. Which car is traveling at a faster rate?

Given the points (1, 5) and (2, 8), find the equation of the line in slope-intercept form.

A bakery sells cupcakes. The cost is modeled by $y = 2x + 5$, where $y$ is the total cost and $x$ is the number of cupcakes. What does the y-intercept represent in this context?

A lemonade stand's cost is related to the number of cups sold. If it costs <math-inline>5 to sell 10 cups and </math-inline>8 to sell 20 cups, what is the linear equation representing this relationship, where $y$ is the cost and $x$ is the number of cups?