The scale of a map is 1 inch : 9.5 miles.

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

Answer:

2.526 in
4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

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Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

map inches/ground miles = 1/9.5 = x/24

route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

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Step-by-step explanation:

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zubka84 [21]

Answer:

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Step-by-step explanation:

No need for a calculator.

Assuming that the equation is in the form $y = ab^x$ , we can plug in points to get our equation. For ease, let's use (1,18) and (2,21). When plugging these points in, we get $18 = ab^1, 21 = ab^2$ . Now let's divide the equations to get rid of $a$ : $\frac{21 = ab^2}{18 = ab^1} = \frac{21}{18} = \frac{7}{6} = b$ . Now that we have $b$ , we can plug in the value we just calculated to solve for $a$ : $18 = a(\frac{7}{6} )^1$ , and solving for $a$ , we get $a = \frac{108}{7}$ .