The linear equation is y = 8x + 30.
The solution to the problem is: 86.
<h3>How to Apply a Linear Equation to Solve Word Problem?</h3>
In slope-intercept form, a linear equation is expressed as y = mx + b, where:
b is the initial value or starting value (y-intercept)
m is the slope or unit rate or rate of change.
In the situation given, we have the following:
x = number of weeks
y = total length over time
Initial/starting value (b) = 30 miles
Slope/unit rate (m) = 8 miles
To write the linear equation that would be used to determine the length of Jaclyn's longest ride after 7 weeks, substitute m = 8 and b = 30 into y = mx + b:
y = 8x + 30.
Substitute x = 7 into y = 8x + 30 to find the length of Jaclyn's longest ride after 7 weeks:
y = 8(7) + 30
y = 86
The solution is: 86.
Learn more about the linear equation on:
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