At noon, Garrett left Magnolia and headed North at 10 kph. At 2 p. m., Ben left Magnolia and headed North. If Ben was 15 km ahead of Garrett at 7 p. m., how fast was Ben traveling?
Choose one answer.
O
a. 17 kph
o
b. 12 kph
c. 21 kph
Ο Ο
d. 16 kph

Step-by-step explanation:

This is simple, but the extra numbers given in the form of the specific times might throw you off.

If Garrett leaves at noon and at 7 Ben is some distance ahead of him, that means that Garrett has been driving for 7 hours. Ben left at 2, so at 7 pm he has been driving for 5 hours. That's part of what's confusing. We'll put that in a table to hopefully make things easier:

              d      =       r      *        t

G                                             7

B                                             5

We also know that Garrett is driving at 10 km/h, so:

              d        =        r        *        t

G                               10       *        7

B                                 r                 5

The r is because Ben's rate is our unknown. Look at the top of the table. That is the formula we are going to use to solve this problem: d = rt.

If Garrett drives for 7 hours at 10 km/hr, then the distance he has traveled is 70 km (that's found by multiplying the rate of 10 km/h by the time of 7 hours). Ben's rate, along those same lines of reasoning, is 5r. Fill that in:

            d        =        r        *        t

G         70       =       10       *       7

B         5r        =        r        *       5

Ok now the table is filled out. Let's look at the rest of the problem. It says that at 7 pm Ben's distance is 15 km more than Garrett's distance. The words "more than" indicate addition. In words that is

"Ben's distance is Garrett's distance plus 15 km" which translates to, mathematically speaking:

5r = 70 + 15 and

5r = 85 so

r = 17

Ben's rate is 17 km/h, choice a.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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answer: okw

step-by-step explanation: