In the picture, there are two lines that graph distance versus time, so the slope of the line is teh rate or the speed of Albert or Tanisha.
We need to calculate the slope of each line. We can note that the two lines start in the origin point (0, 0), so:
[tex]\begin{gathered} \text{For Albert, we can s}ee\text{ that the point (10, 1) is in the line, so:} \\ slopeofAlbert=m_A=\frac{1}{10}=0.1\frac{miles}{\min ute} \\ \text{For Tanisha, we can se}e\text{ thet the point (}20,\text{ 1) is in the line. so:} \\ slopeofTanisha=m_T=\frac{1}{20}=0.05\frac{miles}{\min ute} \end{gathered}[/tex]
The different between the slopes (speed) is:
[tex]\begin{gathered} m_A-m_T=0.1\frac{miles}{\min ute}-0.05\frac{miles}{\min ute}=0.05\frac{miles}{\min ute} \\ In\text{ miles/hours is:} \\ m_A-m_T=0.05\frac{miles}{\min ute}\cdot\frac{60\text{minutes}}{1\text{hour}}=3\frac{miles}{hour} \end{gathered}[/tex]
Albert goes 3 miles/hour faster than Tanisha
