SAT Math: Algebra

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?

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?

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?

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 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 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?

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

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?

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.

The cost of renting a boat is <math-inline>20 per hour plus a fixed fee. If the slope of the cost equation is 20 and a 3-hour rental costs </math-inline>80, what is the fixed fee?