Actual distance between two places is 130 miles. The scale of the map is 1 in:100 miles. What is the distance between these two places in the map?

1.3 inches

Step-by-step explanation:

1. Determine what you already know in order to set up the equation:

1 inch = 100 miles

x inches = 130 miles

Solving for x

2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)

=

3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)

100x = 130

4. Divide each side by 100 to isolate the variable.

x = 1.3

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.