AQA · Mathematics · 8300
GCSE Maths: Linear graphs: real life
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: real life (Corbettmaths Video 198), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
7 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
In a linear graph, what does the gradient represent in real-life contexts?
Show answer
The rate of change of the dependent variable with respect to the independent variable (e.g., cost per mile, volume per second, depth decrease per minute).
How do you calculate the gradient of a straight line from a graph?
Show answer
Gradient = change in y ÷ change in x (rise over run). Pick two points on the line and divide the vertical change by the horizontal change.
A linear cost function typically consists of a ? plus a variable charge per unit.
Show answer
fixed charge
What does the y-intercept represent in a graph showing volume of liquid over time during pouring?
Show answer
The initial volume of liquid already in the container before pouring begins.
In a linear graph showing depth of water draining from a pool over time, what does a negative gradient indicate?
Show answer
The water level is decreasing; it shows the rate at which the depth is reducing per unit time.
What is the general form of a linear equation representing a real-life situation with a fixed cost and a variable cost?
Show answer
y = mx + c, where c is the fixed cost (y-intercept) and m is the variable cost per unit (gradient).
If a plant grows at one rate for the first few weeks, then faster after adding plant food, how would you calculate the increase in growth rate?
Show answer
Find the gradient (cm per week) for each period separately, then subtract the initial rate from the new rate.
Want to create your own cards? Create a free account. AI generation uses credits.