Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Certainly! Let's tackle each part of this question step by step.
### Part (a)
To write an equation in the form [tex]\( y = mx + b \)[/tex] for this cell phone plan, we need to identify what [tex]\( m \)[/tex] and [tex]\( b \)[/tex] represent.
- [tex]\( m \)[/tex] represents the cost per month. Here, the cost is [tex]$40 per month. - \( b \) represents the one-time activation fee. This fee is $[/tex]32.
So, the equation in slope-intercept form [tex]\( y = mx + b \)[/tex] for this situation is:
[tex]\[ y = 40x + 32 \][/tex]
### Part (b)
Next, we need to find and interpret the ordered pair associated with the equation for [tex]\( x = 7 \)[/tex].
- Substitute [tex]\( x = 7 \)[/tex] into the equation [tex]\( y = 40x + 32 \)[/tex]:
[tex]\[ y = 40(7) + 32 \][/tex]
[tex]\[ y = 280 + 32 \][/tex]
[tex]\[ y = 312 \][/tex]
Therefore, the ordered pair is [tex]\( (7, 312) \)[/tex].
Interpretation of the ordered pair: When [tex]\( x = 7 \)[/tex], it represents the cost after 7 months. So, after 7 months, the total cost of the cell phone plan is [tex]$312. ### Part (c) Finally, we calculate the total cost over a two-year contract. Since there are 12 months in a year, a two-year contract means \( 24 \) months. - Substitute \( x = 24 \) into the equation \( y = 40x + 32 \): \[ y = 40(24) + 32 \] \[ y = 960 + 32 \] \[ y = 992 \] Total cost: Over a two-year contract (24 months), the total cost of this plan is $[/tex]992.
To summarize:
(a) The equation is [tex]\( y = 40x + 32 \)[/tex].
(b) The ordered pair for [tex]\( x = 7 \)[/tex] is [tex]\( (7, 312) \)[/tex], which means after 7 months, the total cost is [tex]$312. (c) Over a two-year contract, the cost will be $[/tex]992.
### Part (a)
To write an equation in the form [tex]\( y = mx + b \)[/tex] for this cell phone plan, we need to identify what [tex]\( m \)[/tex] and [tex]\( b \)[/tex] represent.
- [tex]\( m \)[/tex] represents the cost per month. Here, the cost is [tex]$40 per month. - \( b \) represents the one-time activation fee. This fee is $[/tex]32.
So, the equation in slope-intercept form [tex]\( y = mx + b \)[/tex] for this situation is:
[tex]\[ y = 40x + 32 \][/tex]
### Part (b)
Next, we need to find and interpret the ordered pair associated with the equation for [tex]\( x = 7 \)[/tex].
- Substitute [tex]\( x = 7 \)[/tex] into the equation [tex]\( y = 40x + 32 \)[/tex]:
[tex]\[ y = 40(7) + 32 \][/tex]
[tex]\[ y = 280 + 32 \][/tex]
[tex]\[ y = 312 \][/tex]
Therefore, the ordered pair is [tex]\( (7, 312) \)[/tex].
Interpretation of the ordered pair: When [tex]\( x = 7 \)[/tex], it represents the cost after 7 months. So, after 7 months, the total cost of the cell phone plan is [tex]$312. ### Part (c) Finally, we calculate the total cost over a two-year contract. Since there are 12 months in a year, a two-year contract means \( 24 \) months. - Substitute \( x = 24 \) into the equation \( y = 40x + 32 \): \[ y = 40(24) + 32 \] \[ y = 960 + 32 \] \[ y = 992 \] Total cost: Over a two-year contract (24 months), the total cost of this plan is $[/tex]992.
To summarize:
(a) The equation is [tex]\( y = 40x + 32 \)[/tex].
(b) The ordered pair for [tex]\( x = 7 \)[/tex] is [tex]\( (7, 312) \)[/tex], which means after 7 months, the total cost is [tex]$312. (c) Over a two-year contract, the cost will be $[/tex]992.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.