PLEASE HELP !! WILL MARK !!
The amount of money Susan earns varies directly with the number of hours she works. Susan earned $180 and worked for 12 hours. If x = the number of hours Susan worked, and y = the amount she earns. Which equation models Susan's direct variation?
A) 12x = y
B) 15x = y
C) 168x = y
D) 180x = y

Emily is trying a new diet that requires eating no candy bars. When Emily begins the diet, she is consuming 20 bars each week. The graph represents the decrease in the number of bars that Emily eats per week. Which inequality states the domain of the graphed function?
A) D: {0 ≤ x ≤ 12}
B) D: {0 ≤ y ≤ 12}
C) D: {0 ≤ x ≤ 20}
D) D: {0 ≤ y ≤ 20}

The amount of sales tax charged is directly proportional to the amount of the purchase. Anna pays $3.90 sales tax on a $60 purchase. What is the rate of the sales tax? What would the sales tax be on a $340 purchase?
A) 3.5%; $11.19
B) 5%; $17.00
C) 6%; $20.40
D) 6.5%; $22.10

PLEASE HELP WILL MARK The amount of money Susan earns varies directly with the number of hours she works Susan earned 180 and worked for 12 hours If x the numb class=

Respuesta :

Answer:

the first answer is A

Step-by-step explanation:

Answer:

B) 15x = y

A) D: {0 ≤ x ≤ 12}

D) 6.5%; $22.10

Step-by-step explanation:

1)

We know that Susan earned $180 and worked for 12 hours. We need to divide those number to find the ratio of change of the variables

[tex]r=\frac{180}{12}= 15[/tex]

This means Susan earn $15 per hour. The expression that models this is

[tex]y=15x[/tex], because it shows the constant ratio of change, that is, the monery earned per hour.

Therefore, the right answer of the first question is B).

2)

Remember, when wa talk about domains, it refers to x-values or horizonta axis values.

Notice in the graph that x-values goes from 0 to 12. That means the domain is a set which contains all values from 0 to 12.

Therefore, the right answer of the second question is A) D: {0 ≤ x ≤ 12}.

3)

We know that Anna pays $3.90 sales tax on a $60 purchase. To know tha rate of sales tax we just need to divide

[tex]\frac{3.90}{60}= 0.065 (6.5 \%)[/tex]

Observe that the only choice that has 6.5% of sales tax is D, so that's the right answer.

However, let's find the sales tax on a $340, purchase

[tex]0.065(340)=22.10[/tex]

That means the salex tax is $22.10.