Question

Please hurry I will mark you brainliest

Answer 1

Answer:

number of pennies = 54

Step-by-step explanation:

(4,60) ; (6, 65)

Find the slope

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

          $=\frac{65-60}{6-4}\\\\=\frac{5}{2}$

m = 5/2 and (4,60)

Equation of the line: y - y1 = m (x -x1)

$y - 60 = \frac{5}{2}(x -4)\\\\y - 60 = \frac{5}{2}x-\frac{5}{2}*4\\\\y- 60 = \frac{5}{2}x-10\\\\y =\frac{5}{2}x-10+60\\\\y=\frac{5}{2}x + 50$

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,

$185 = \frac{5}{2}x+50\\\\185-50=\frac{5}{2}x\\\\135=\frac{5}{2}x\\\\135*\frac{2}{5}=x\\\\27*2=x$

x = 54