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SVETLANKA909090 [29]

4 years ago

14

Please help me graph this right

1 answer:

OleMash [197]4 years ago

6 0

go 6 to the left of 0 and 10 up from -6

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By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one mo

Andrei [34K]

Answer:

(a) $y = 0.025x+15$

(b) 18.5 minutes

(c) 450.4 minutes

Step-by-step explanation:

Given

$290\ minutes = \$22.25$

$360\ minutes = \$24.00$

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (290,22.25)$

$(x_2,y_2) = (360,24.00)$

So, we have:

$m = \frac{24.00 - 22.25}{360 - 290}$

$m = \frac{1.75}{70}$

Multiply through by 100

$m = \frac{1.75 * 100}{70 * 100}$

$m = \frac{175}{7000}$

Next, is to calculate the equation of the line using:

$y - y_1 = m(x - x_1)$

Recall that:

$(x_1,y_1) = (290,22.25)$

$m = \frac{175}{7000}$

$y - 22.25 = \frac{175}{7000}(x - 290)$

$y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290$

$y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}$

Add 22.25 to both sides

$y = \frac{175x}{7000} - \frac{5075}{700} + 22.25$

$y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}$

$y = \frac{175x}{7000} + \frac{10500}{700}$

$y = 0.025x+15$

(b) Solve for y when x = 140

$y = 0.025x+15$

Substitute 140 for x

$y = 0.025 * 140 + 15$

$y = 3.5 + 15$

$y = 18.5$

(c) Solve for x when y = 26.25

$y = 0.025x+15$

Substitute 26.25 for y

$26.25 = 0.025x + 15$

Solve for 0.025x

$0.025x = 26.26 - 15$

$0.025x = 11.26$

Solve for x

$x = 11.26/0.025$

$x = 450.4\ minutes$

3 0

3 years ago

Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by

sergey [27]

Answer:

$1,605\ ft^{2}$

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

$10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft$

$A=\frac{65}{6}*18=195\ ft^{2}$

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

$1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}$

4 0

4 years ago

Four students spent $12 on school lunch , At this rate , Find The Amount 10 students would spend on the same school lunch ?

DENIUS [597]

Set up a proportion
4/12=10/x
cross multiply
120=4x
divide by 4
30=x
10 students would spend $30 on the same school lunch

6 0

3 years ago

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable

tresset_1 [31]

Answer:

A. This is possible but less likely

B. This is very possible

C. This is highly unlikely

B. is the most possible A. is the second most possible C. is least possible

Hope this helps <33

6 0

3 years ago

Help pleaseeeeee!!!!!!!!!!!!!!!!

Vadim26 [7]

answer it's a second one because a function always has a curved line and if that's not right then choose 3 because those are the only two that makes sense to me

7 0

3 years ago

Read 2 more answers