y=mx+b word problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you write an equation for a situation where there is a fixed cost plus a variable cost?

Back

You write the equation in the form y = mx + b, where y is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed cost.

Front

If a plumber charges $25 for a service call plus $50 per hour, what is the equation for the total cost after h hours?

Back

C = 50h + 25.

Front

If there are initially 20 people in a gym and 5 more come in every hour, how do you express the total number of people after h hours?

Back

Total people = 20 + 5h.

Front

What is the total cost equation for picking x pounds of fruit if the charge is $3 for the basket and $2.50 per pound?

Back

y = 2.50x + 3.

Front

How do you find the total number of students after x years if there are 11,000 students and it increases by 225 each year?

Back

y = 225x + 11000.

Front

What is the equation for the total cost of a taxi ride if there is a $5 pickup fee and $2 per mile?

Back

y = 2x + 5.

Front

How do you determine the total cost in a linear equation?

Back

Add the fixed cost (b) to the product of the variable cost (m) and the number of units (x).