Zahn takes a summer job selling ice cream bars at the pool. He receives a fixed salary and then additionally a commission for each ice cream bar he sells. The table shows Max's total earnings, y, in dollars, from selling x ice cream bars: Ice Cream Sales and Earnings
Number of Bars Sold (x)
Total Earnings (dollars) (y)
0
30
1
34
2
38
3
42
Select the equation that best represents the relationship between x and y. (5 points)

a
y = x + 34

b
y = 4x + 30

c
y = 4x + 42

d
y = x + 42

B

If you look at the table, you notice that he earns 30 without selling ice cream bars. This is his fixed salary.

When he sells one ice cream bar, he earns 34, which means he gets 4 dollars for each bar he sells.

The equation that best represents the relationship between x and y is b) y = 4x + 30, because 4 dollars × number of ice cream bars + fixed salary equals his total earnings.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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step-by-step explanation: