A map of Texas has a scale of 1 in : 65 mi. The distance from dallas to San Antonio is 260 miles. What is the distance on the map?

We can write this as a proportion equation:

x

260

mi

=

1

in

65

mi

Multiply each side of the equation by

260

mi

to solve for

x

while keeping the equation balanced:

260

mi

×

x

260

mi

=

260

mi

×

1

in

65

mi

260

mi

×

x

260

mi

=

260

mi

×

1

in

65

mi

x

=

260

×

1

in

65

x

=

260

in

65

x

=

4

in

Step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2