OST Questions (pt 2)

Front

What is a linear equation?

Back

A linear equation is an equation that models a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the linear equation for a tent rental that costs $45 per hour plus a flat fee of $135.

Back

y = 45x + 135, where y is the total cost and x is the number of hours rented.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function and simplify.

Front

Evaluate f(7) for the function f(x) = -2x^2 - 3x.

Back

f(7) = -2(7)^2 - 3(7) = -119.

Front

What is a box plot?

Back

A box plot is a graphical representation of data that shows the median, quartiles, and potential outliers.

Front

How do you find the median from a box plot?

Back

The median is the line inside the box of the box plot, representing the middle value of the dataset.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over time, often modeled by the function y = a(1 + r)^t.

Front

Write the function for Kayla's savings that increases by 4% each year starting from $1200.

Back

y = 1200(1.04)^x, where y is the amount after x years.

Front

What is the formula to calculate percentage?

Back

Percentage = (Part/Whole) * 100.

Front

If Jack surveyed 240 people and 65% own an SUV, how many people own an SUV?

Back

Number of SUV owners = 0.65 * 240 = 156.