Sarah needs to make a cake and some cookies. The cake requires 3/4 cups of sugar and the cookies require 3/5 cups of sugar. If s
1 answer:
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Step-by-step explanation:
use this formula
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The linear equations for the system: y = x + 70 and y = 4x + 10
She'll attend 20 classes/month
The graph for the solution (20, 95) is in the image attached below
<h3>What is a Linear Equation?</h3>A linear equation can expressed in slope-intercept form, as, y = mx + b.
- m = unit rate/slope
- b = initial value/y-intercept
Linear equation for the first membership plan:
b = 70
m = 1
x = number of classes
y = total amount
Equation for the first membership plan: y = x + 70
Linear equation for the second membership plan:
b = 10
m = 4
x = number of classes
y = total amount
Equation for the second membership plan: y = 4x + 10
The system of equations are:
y = x + 70
y = 4x + 10
The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).
This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.
Learn more about linear equations on:
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