question 1 of 5\ntype the correct answer in each box. use numerals instead of words.\ntwo chains of clothing…

question 1 of 5\ntype the correct answer in each box. use numerals instead of words.\ntwo chains of clothing stores, impulse clothing and opal essence, were founded in the same year, although some outlets of opal essence were operating under a different name before opal essence was founded.\nthe owner of impulse clothing uses the equation below to represent the number of clothing stores, c, he owns x years after the brands founding.\nc = 2^x\nthe owner of opal essence uses the equation below to represent the number of clothing stores, c, she owns x years after the original brands founding.\nc = x + 5\nusing graphing technology, complete the statements.\nafter years, impulse clothing and opal essence will own the same number of clothing stores.\nthe total number of stores during that year will be .

question 1 of 5\ntype the correct answer in each box. use numerals instead of words.\ntwo chains of clothing stores, impulse clothing and opal essence, were founded in the same year, although some outlets of opal essence were operating under a different name before opal essence was founded.\nthe owner of impulse clothing uses the equation below to represent the number of clothing stores, c, he owns x years after the brands founding.\nc = 2^x\nthe owner of opal essence uses the equation below to represent the number of clothing stores, c, she owns x years after the original brands founding.\nc = x + 5\nusing graphing technology, complete the statements.\nafter years, impulse clothing and opal essence will own the same number of clothing stores.\nthe total number of stores during that year will be .

Answer

Explanation:

Step1: Set the two equations equal

Set $2^{x}=x + 5$ to find when the number of stores is equal. We can solve this by trial - and - error or using a graphing utility. When $x = 3$, $2^{3}=8$ and $3 + 5=8$.

Step2: Find the total number of stores

Since at $x = 3$ the number of stores for both is the same, and for either equation when $x = 3$, $C=8$. The total number of stores is $8+8 = 16$.

Answer:

3; 16