1)

C=md+t

The cost C, of a business trip is represented by the equation above, where m is a constant, d is the number of days of the complete trip, and t is the cost of transportation, which doesn't change. If the business trip was increased by 5 days, how much more did the business trip cost than the original trip?

A)5d
B)5m
C)5t
D)d(m-3)
E)m(d-3)
^I got E

2)
4x-3y=9
8x+ky +19

For which value of k will the system of the equations above have no solution?

A) 6
B)3
C)0
D)-3
E)-6
^I do not know

3)A population that starts at 100 and doubles after eight years can be expressed as the following where t stands for the number of years that have elapsed from the start:
A)100 x 2^(t)
B)100 x 2^(t/7)
C)100 x 2^(t-8)
D)100 x 2 ^ (t/8)
E)100 x 2^(16t)
^I got D

If I got a question wrong can you please explain why?

1)

C=md+t

The cost C, of a business trip is represented by the equation above, where m is a constant, d is the number of days of the complete trip, and t is the cost of transportation, which doesn't change. If the business trip was increased by 5 days, how much more did the business trip cost than the original trip?

A)5d
B)5m
C)5t
D)d(m-3)
E)m(d-3)
^I got E
===============================
I did NOT get E
for CHANGE with number of days you use the SLOPE m times the change in umber of days
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2)
4x-3y=9
8x+ky +19

For which value of k will the system of the equations above have no solution?

A) 6
B)3
C)0
D)-3
E)-6
^I do not know
=================================
if the ratio of y to x, which is the SLOPE is the same, the lines will be parallel and never cross
4x-3y=9
8x-6y +19
*******************************

3)A population that starts at 100 and doubles after eight years can be expressed as the following where t stands for the number of years that have elapsed from the start:
A)100 x 2^(t)
B)100 x 2^(t/7)
C)100 x 2^(t-8)
D)100 x 2 ^ (t/8)
E)100 x 2^(16t)
^I got D
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YES !!!!
********************
If I got a question wrong can you please explain why?

2. What is double -3?

you are correct on 3)

you are wrong on 1)

Is 1) B?

1) To find the amount by which the business trip cost increased when the number of days increased by 5, we can substitute the new values into the equation and subtract the original cost from the new cost.

Original cost: C = md + t

New cost: C' = m(d + 5) + t

To find the difference, we subtract the original cost from the new cost:

C' - C = m(d+5) + t - (md + t)
= md + 5m + t - md - t
= 5m

Therefore, the amount by which the business trip cost increased is 5m. Thus, the correct answer is B) 5m.

2) To determine the value of k for which the system of equations has no solution, we need to analyze the coefficients of y in the two equations: -3y and ky. For the system of equations to have no solution, these two coefficients should be proportional (i.e., one should be a multiple of the other).

Comparing -3y and ky, we can see that if k = -3, the coefficients become equal (-3y and -3y). Therefore, choosing k = -3 will result in no solution for the system of equations. Thus, the correct answer is D) -3.

3) The given expression for the population after t years is:

P = 100 x 2^(t/8)

This formula accounts for a population that doubles every 8 years.

If t = 8 (i.e., 8 years have elapsed), we can substitute this value into the equation and simplify:

P = 100 x 2^(8/8)
= 100 x 2^1
= 100 x 2
= 200

So, after 8 years, the population has doubled to 200.

Therefore, the correct answer is A) 100 x 2^(t).