The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
<h3>What is a linear function?</h3>
The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.
In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
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Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1）
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
C = d + 3
In this equation, the variable c represent's Carter's score, and the variable d represents Denise's score. Because Denise scored 3 fewer points than Carter, that means that Carter scored 3 more points than Denise. Therefore, d, or Denise's score, is equal to c, or Carter's score, if you add 3. Now, let's substitute in Denise's score of 18.
c = 18 + 3 Substitute
c = 21 Add
Carter's score is 21. If we wanted to check that, we could simply reverse the equation.
d = c - 3 Because Denise scored three fewer points than Carter, his score equals Carter's score minus 3.
d = 21 - 3 Now, let's substitute in the answer we got for Carter's score.
d = 18 Yep! The question says that Denise scored 18 points, so the answer we got is correct.
Answer:
D
Step-by-step explanation:
hope this helps with your work
