Answer:
number of pennies = 54
Step-by-step explanation:
(4,60) ; (6, 65)
Find the slope
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{65-60}{6-4}\\\\=\frac{5}{2}[/tex]
m = 5/2 and (4,60)
Equation of the line: y - y1 = m (x -x1)
[tex]y - 60 = \frac{5}{2}(x -4)\\\\y - 60 = \frac{5}{2}x-\frac{5}{2}*4\\\\y- 60 = \frac{5}{2}x-10\\\\y =\frac{5}{2}x-10+60\\\\y=\frac{5}{2}x + 50[/tex]
x-----> determine the number of pennies and y determines the mass of pennies.
Here mass (y -value) is given as 185. We have find the corresponding x-value. So plugin y = 185 in the above equation,
[tex]185 = \frac{5}{2}x+50\\\\185-50=\frac{5}{2}x\\\\135=\frac{5}{2}x\\\\135*\frac{2}{5}=x\\\\27*2=x[/tex]
x = 54
