Candace leaves her house and starts jogging at a pace of 480 feet per minute. Five minutes later, her brother runs after her at a pace of 660 feet per minute. If both of them continue at these speeds, how long will it take her brother to catch up? Here is the equation that models the problem, where t represents time in hours. 480t = 660(t – 112112)

The answer to your question is time = 20 min

Step-by-step explanation:

Data

Candace = 480 ft/min

time = 5 min

Brother = 660 ft/min

Process

1.- Calculate the distance traveled by Candace in 5 min

    distance = speed xtime

                   = 480 x 5

                   = 2400 ft

2.- Write the equations to help solve the problem

Candace    distance = 2400 + 480t

Brother      distance = 600t

3.- Solve by equality

                  2400 + 480t = 600t

                  2400 = 600t - 480t

                  2400 = 120t

                   t = 2400/120

                   t = 20 min

4.- I will solve the equation given

                   480t = 660(t - 112112)

                   480t - 660t = -112112

                            -120t = -112112

                                   t = -112112/-120

                                   t = 934 h   I think there is a mistake in the formula you

                                                      wrote.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?