Answer: The r<span>-value for the linear function related to the ordered pairs is very close to zero, so it is not a good representation of the data. A quadratic model would better represent the data because there is a turning point within the data set. The data increases then decreases, which is what the graph of a quadratic does. </span>
Answer:t=1
Step-by-step explanation:
16-2t=t+9+4t
Collect like terms
4t+2t+t=16-9
Combine like terms
7t=7
Divide both sides by 7
7t ➗ 7=7 ➗ 7
t=1
Answer:
10 years
Step-by-step explanation:
Given
Decline from (0,h) to (10,0)
See attachment for graph
Required
Determine the age when height = 0
The function of the graph is represented as: (age, height)
So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)
From the attached graph;
when 
<em>Hence, the age of the car is 10 years</em>
Answer:
1
Step-by-step explanation:
By gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x
Plugging in the given points (0,5) and (-5,0):
(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1
