Final answer:
The equation in slope-intercept form to represent the distance traveled by the Woods family is A) d = 20t + 10.
Step-by-step explanation:
To represent the distance traveled by the Woods family since July 12th, we can use the equation in slope-intercept form. In slope-intercept form, the equation is given as: d = mt + b, where m is the slope and b is the y-intercept.
The given information states that the family had already traveled 10 miles since leaving the Green River, so the y-intercept is 10. They were traveling at a rate of 20 miles per day, so the slope is 20.
Therefore, the equation in slope-intercept form to represent the distance traveled by the Woods family is: d = 20t + 10.