Day 76: 8.PFA.3 Practice Connections

Front

What is the equation that models Bob's Plumbing charges of $15 per hour plus a service fee of $40?

Back

y = 15x + 40

Front

How many deposits does Jenna need to make to have $750 in her savings account if each deposit is $100?

Back

7

Front

What situation can be described by the equation y = -25x + 120?

Back

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.

Front

Which function represents the relationship in the table if y = 2x + 5?

Back

The function shows a linear relationship where for every increase of 1 in x, y increases by 2.

Front

What equation can be used to find the amount of money Sonya has left in her lunch account after x days if she pays $2 each day?

Back

y = -2x + 40

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation.

Front

How do you determine the number of solutions for a system of linear equations?

Back

By graphing the equations: if they intersect, there is one solution; if they are parallel, there are no solutions; if they are the same line, there are infinitely many solutions.

Front

What is the meaning of the term 'function' in mathematics?

Back

A function is a relation that assigns exactly one output for each input.