on a map that is drawn to scale 9 inches represents a distance of d miles. What represents d + 1 miles on the map
d miles correspond with 9 inches on the map
so 1 mile corresponds to 9/d inches
d+1 miles corresponds to (9/d)(d+1) inches on the map
doodle with (9/d)(d+1) any way you want.
x = 9(d+1)
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d
X equals:
9(d+1)
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d
To find out what represents d + 1 miles on the map, we need to determine the scale of the map. The given information tells us that 9 inches represents a distance of d miles.
To calculate the scale, we can use the ratio of distance on the map to the actual distance:
Scale = Distance on the map / Actual distance
In this case, the distance on the map is 9 inches, and the actual distance is d miles.
So, the scale of the map is 9 inches / d miles.
To find what represents d + 1 miles on the map, we can multiply the scale of the map by (d + 1) miles:
Representation of (d + 1) miles = Scale × (d + 1) miles
Substituting the scale of the map, we have:
Representation of (d + 1) miles = (9 inches / d miles) × (d + 1) miles
Simplifying the expression, we get:
Representation of (d + 1) miles = 9 inches × (d + 1) / d
Therefore, the representation of (d + 1) miles on the map is 9 inches multiplied by (d + 1) divided by d.